diff --git a/phpseclib/Crypt/AES.php b/phpseclib/Crypt/AES.php
index cf8c050a..8f098734 100644
--- a/phpseclib/Crypt/AES.php
+++ b/phpseclib/Crypt/AES.php
@@ -157,7 +157,7 @@ class Crypt_AES extends Crypt_Rijndael
      *
      * - CRYPT_AES_MODE_OFB
      *
-     * If not explictly set, CRYPT_AES_MODE_CBC will be used.
+     * If not explicitly set, CRYPT_AES_MODE_CBC will be used.
      *
      * @see Crypt_Rijndael::Crypt_Rijndael()
      * @see Crypt_Base::Crypt_Base()
diff --git a/phpseclib/Crypt/Base.php b/phpseclib/Crypt/Base.php
index f08529b9..4ab417ab 100644
--- a/phpseclib/Crypt/Base.php
+++ b/phpseclib/Crypt/Base.php
@@ -279,7 +279,7 @@ class Crypt_Base
      * $buffer bytes > $cfb_init_len than
      * using the $ecb resource furthermore.
      *
-     * This value depends of the choosen cipher
+     * This value depends of the chosen cipher
      * and the time it would be needed for it's
      * initialization [by mcrypt_generic_init()]
      * which, typically, depends on the complexity
@@ -438,9 +438,9 @@ class Crypt_Base
      *
      * - CRYPT_MODE_OFB
      *
-     * (or the alias constants of the choosen cipher, for example for AES: CRYPT_AES_MODE_ECB or CRYPT_AES_MODE_CBC ...)
+     * (or the alias constants of the chosen cipher, for example for AES: CRYPT_AES_MODE_ECB or CRYPT_AES_MODE_CBC ...)
      *
-     * If not explictly set, CRYPT_MODE_CBC will be used.
+     * If not explicitly set, CRYPT_MODE_CBC will be used.
      *
      * @param optional Integer $mode
      * @access public
@@ -500,7 +500,7 @@ class Crypt_Base
     /**
      * Sets the initialization vector. (optional)
      *
-     * SetIV is not required when CRYPT_MODE_ECB (or ie for AES: CRYPT_AES_MODE_ECB) is being used.  If not explictly set, it'll be assumed
+     * SetIV is not required when CRYPT_MODE_ECB (or ie for AES: CRYPT_AES_MODE_ECB) is being used.  If not explicitly set, it'll be assumed
      * to be all zero's.
      *
      * Note: Could, but not must, extend by the child Crypt_* class
@@ -1446,7 +1446,7 @@ class Crypt_Base
      *     - each time on _setup(), after(!) _setupKey()
      *
      *
-     *     This ensures that _setupInlineCrypt() has allways a
+     *     This ensures that _setupInlineCrypt() has always a
      *     full ready2go initializated internal cipher $engine state
      *     where, for example, the keys allready expanded,
      *     keys/block_size calculated and such.
diff --git a/phpseclib/Crypt/Blowfish.php b/phpseclib/Crypt/Blowfish.php
index b352e7c4..b4636711 100644
--- a/phpseclib/Crypt/Blowfish.php
+++ b/phpseclib/Crypt/Blowfish.php
@@ -386,7 +386,7 @@ class Crypt_Blowfish extends Crypt_Base
      *
      * - CRYPT_BLOWFISH_MODE_OFB
      *
-     * If not explictly set, CRYPT_BLOWFISH_MODE_CBC will be used.
+     * If not explicitly set, CRYPT_BLOWFISH_MODE_CBC will be used.
      *
      * @see Crypt_Base::Crypt_Base()
      * @param optional Integer $mode
diff --git a/phpseclib/Crypt/DES.php b/phpseclib/Crypt/DES.php
index fcbf0199..6b330b71 100644
--- a/phpseclib/Crypt/DES.php
+++ b/phpseclib/Crypt/DES.php
@@ -679,7 +679,7 @@ class Crypt_DES extends Crypt_Base
      *
      * - CRYPT_DES_MODE_OFB
      *
-     * If not explictly set, CRYPT_DES_MODE_CBC will be used.
+     * If not explicitly set, CRYPT_DES_MODE_CBC will be used.
      *
      * @see Crypt_Base::Crypt_Base()
      * @param optional Integer $mode
diff --git a/phpseclib/Crypt/RC2.php b/phpseclib/Crypt/RC2.php
index de22d631..126ace88 100644
--- a/phpseclib/Crypt/RC2.php
+++ b/phpseclib/Crypt/RC2.php
@@ -333,7 +333,7 @@ class Crypt_RC2 extends Crypt_Base
      *
      * - CRYPT_RC2_MODE_OFB
      *
-     * If not explictly set, CRYPT_RC2_MODE_CBC will be used.
+     * If not explicitly set, CRYPT_RC2_MODE_CBC will be used.
      *
      * @see Crypt_Base::Crypt_Base()
      * @param optional Integer $mode
diff --git a/phpseclib/Crypt/RC4.php b/phpseclib/Crypt/RC4.php
index d062be25..a65a71a1 100644
--- a/phpseclib/Crypt/RC4.php
+++ b/phpseclib/Crypt/RC4.php
@@ -241,7 +241,7 @@ class Crypt_RC4 extends Crypt_Base
      * Decrypts a message.
      *
      * $this->decrypt($this->encrypt($plaintext)) == $this->encrypt($this->encrypt($plaintext)).
-     * Atleast if the continuous buffer is disabled.
+     * At least if the continuous buffer is disabled.
      *
      * @see Crypt_Base::encrypt()
      * @see Crypt_RC4::_crypt()
diff --git a/phpseclib/Crypt/RSA.php b/phpseclib/Crypt/RSA.php
index feb887c7..998dffb3 100644
--- a/phpseclib/Crypt/RSA.php
+++ b/phpseclib/Crypt/RSA.php
@@ -104,7 +104,7 @@ define('CRYPT_RSA_ENCRYPTION_OAEP',  1);
  * Use PKCS#1 padding.
  *
  * Although CRYPT_RSA_ENCRYPTION_OAEP offers more security, including PKCS#1 padding is necessary for purposes of backwards
- * compatability with protocols (like SSH-1) written before OAEP's introduction.
+ * compatibility with protocols (like SSH-1) written before OAEP's introduction.
  */
 define('CRYPT_RSA_ENCRYPTION_PKCS1', 2);
 /**#@-*/
@@ -128,7 +128,7 @@ define('CRYPT_RSA_SIGNATURE_PSS',  1);
  * Use the PKCS#1 scheme by default.
  *
  * Although CRYPT_RSA_SIGNATURE_PSS offers more security, including PKCS#1 signing is necessary for purposes of backwards
- * compatability with protocols (like SSH-2) written before PSS's introduction.
+ * compatibility with protocols (like SSH-2) written before PSS's introduction.
  */
 define('CRYPT_RSA_SIGNATURE_PKCS1', 2);
 /**#@-*/
@@ -2275,11 +2275,11 @@ class Crypt_RSA
      *
      * See {@link http://tools.ietf.org/html/rfc3447#section-7.2.2 RFC3447#section-7.2.2}.
      *
-     * For compatability purposes, this function departs slightly from the description given in RFC3447.
+     * For compatibility purposes, this function departs slightly from the description given in RFC3447.
      * The reason being that RFC2313#section-8.1 (PKCS#1 v1.5) states that ciphertext's encrypted by the
      * private key should have the second byte set to either 0 or 1 and that ciphertext's encrypted by the
      * public key should have the second byte set to 2.  In RFC3447 (PKCS#1 v2.1), the second byte is supposed
-     * to be 2 regardless of which key is used.  For compatability purposes, we'll just check to make sure the
+     * to be 2 regardless of which key is used.  For compatibility purposes, we'll just check to make sure the
      * second byte is 2 or less.  If it is, we'll accept the decrypted string as valid.
      *
      * As a consequence of this, a private key encrypted ciphertext produced with Crypt_RSA may not decrypt
diff --git a/phpseclib/Crypt/Rijndael.php b/phpseclib/Crypt/Rijndael.php
index 42531516..70cac5da 100644
--- a/phpseclib/Crypt/Rijndael.php
+++ b/phpseclib/Crypt/Rijndael.php
@@ -167,7 +167,7 @@ class Crypt_Rijndael extends Crypt_Base
      * Mcrypt is useable for 128/192/256-bit $block_size/$key_size. For 160/224 not.
      * Crypt_Rijndael determines automatically whether mcrypt is useable
      * or not for the current $block_size/$key_size.
-     * In case of, $cipher_name_mcrypt will be set dynamicaly at run time accordingly.
+     * In case of, $cipher_name_mcrypt will be set dynamically at run time accordingly.
      *
      * @see Crypt_Base::cipher_name_mcrypt
      * @see Crypt_Base::engine
@@ -693,7 +693,7 @@ class Crypt_Rijndael extends Crypt_Base
      *
      * - CRYPT_RIJNDAEL_MODE_OFB
      *
-     * If not explictly set, CRYPT_RIJNDAEL_MODE_CBC will be used.
+     * If not explicitly set, CRYPT_RIJNDAEL_MODE_CBC will be used.
      *
      * @see Crypt_Base::Crypt_Base()
      * @param optional Integer $mode
@@ -755,7 +755,7 @@ class Crypt_Rijndael extends Crypt_Base
      *       you should not setKeyLength(160) or setKeyLength(224).
      *
      * Additional: In case of 160- and 224-bit keys, phpseclib will/can, for that reason, not use
-     *             the mcrypt php extention, even if available.
+     *             the mcrypt php extension, even if available.
      *             This results then in slower encryption.
      *
      * @access public
diff --git a/phpseclib/Crypt/TripleDES.php b/phpseclib/Crypt/TripleDES.php
index 21318209..241b5170 100644
--- a/phpseclib/Crypt/TripleDES.php
+++ b/phpseclib/Crypt/TripleDES.php
@@ -180,7 +180,7 @@ class Crypt_TripleDES extends Crypt_DES
      *
      * - CRYPT_DES_MODE_3CBC
      *
-     * If not explictly set, CRYPT_DES_MODE_CBC will be used.
+     * If not explicitly set, CRYPT_DES_MODE_CBC will be used.
      *
      * @see Crypt_DES::Crypt_DES()
      * @see Crypt_Base::Crypt_Base()
@@ -217,7 +217,7 @@ class Crypt_TripleDES extends Crypt_DES
     /**
      * Sets the initialization vector. (optional)
      *
-     * SetIV is not required when CRYPT_DES_MODE_ECB is being used.  If not explictly set, it'll be assumed
+     * SetIV is not required when CRYPT_DES_MODE_ECB is being used.  If not explicitly set, it'll be assumed
      * to be all zero's.
      *
      * @see Crypt_Base::setIV()
diff --git a/phpseclib/Crypt/Twofish.php b/phpseclib/Crypt/Twofish.php
index 9be5fd10..0dd44807 100644
--- a/phpseclib/Crypt/Twofish.php
+++ b/phpseclib/Crypt/Twofish.php
@@ -465,7 +465,7 @@ class Crypt_Twofish extends Crypt_Base
      *
      * - CRYPT_TWOFISH_MODE_OFB
      *
-     * If not explictly set, CRYPT_TWOFISH_MODE_CBC will be used.
+     * If not explicitly set, CRYPT_TWOFISH_MODE_CBC will be used.
      *
      * @see Crypt_Base::Crypt_Base()
      * @param optional Integer $mode
diff --git a/phpseclib/File/X509.php b/phpseclib/File/X509.php
index 9e7b0b3b..a90c7c86 100644
--- a/phpseclib/File/X509.php
+++ b/phpseclib/File/X509.php
@@ -2531,7 +2531,7 @@ class File_X509
                 return strtolower(bin2hex(pack('N', $hash)));
         }
 
-        // Defaut is to return a string.
+        // Default is to return a string.
         $start = true;
         $output = '';
         $asn1 = new File_ASN1();
diff --git a/phpseclib/Math/BigInteger.php b/phpseclib/Math/BigInteger.php
index 125cac79..52fe15a5 100644
--- a/phpseclib/Math/BigInteger.php
+++ b/phpseclib/Math/BigInteger.php
@@ -3283,7 +3283,7 @@ class Math_BigInteger
      * Checks a numer to see if it's prime
      *
      * Assuming the $t parameter is not set, this function has an error rate of 2**-80.  The main motivation for the
-     * $t parameter is distributability.  Math_BigInteger::randomPrime() can be distributed accross multiple pageloads
+     * $t parameter is distributability.  Math_BigInteger::randomPrime() can be distributed across multiple pageloads
      * on a website instead of just one.
      *
      * @param optional Integer $t