diff --git a/doc/README.md b/doc/README.md
index 398ba38f8..39838da46 100644
--- a/doc/README.md
+++ b/doc/README.md
@@ -2852,10 +2852,10 @@ Produces a random number between `min` and `max` *(inclusive)*. If only one argu
 #### Example
 ```js
 _.random(0, 5);
-// => a number between 1 and 5
+// => a number between 0 and 5
 
 _.random(5);
-// => also a number between 1 and 5
+// => also a number between 0 and 5
 ```
 
 * * *
diff --git a/lodash.js b/lodash.js
index 405fb93b6..a79941cd9 100644
--- a/lodash.js
+++ b/lodash.js
@@ -3889,10 +3889,10 @@
    * @example
    *
    * _.random(0, 5);
-   * // => a number between 1 and 5
+   * // => a number between 0 and 5
    *
    * _.random(5);
-   * // => also a number between 1 and 5
+   * // => also a number between 0 and 5
    */
   function random(min, max) {
     if (min == null && max == null) {
diff --git a/test/test.js b/test/test.js
index 06972c0af..8bc19960c 100644
--- a/test/test.js
+++ b/test/test.js
@@ -1396,6 +1396,24 @@
       }
       notEqual(actual, 5);
     });
+
+    test('supports large integer values', function() {
+      var array = Array(1000),
+          min = Math.pow(2, 31),
+          max = Math.pow(2, 62);
+
+      ok(_.every(array, function() {
+        return _.random(min, max) >= min;
+      }));
+
+      ok(_.some(array, function() {
+        return _.random(Number.MAX_VALUE) > 0;
+      }));
+    });
+
+    test('should coerce arguments to numbers', function() {
+      strictEqual(_.random('1', '1'), 1);
+    });
   }());
 
   /*--------------------------------------------------------------------------*/