It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 513 908 is not a prime number.
For example, 513 908 can be divided by 2: 513 908 / 2 = 256 954.
For 513 908 to be a prime number, it would have been required that 513 908 has only two divisors, i.e., itself and 1.
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513 908 is an even number, because it is evenly divisible by 2: 513 908 / 2 = 256 954.
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A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 513 908 is about 716.874.
Thus, the square root of 513 908 is not an integer, and therefore 513 908 is not a square number.
The square of a number (here 513 908) is the result of the product of this number (513 908) by itself (i.e., 513 908 × 513 908); the square of 513 908 is sometimes called "raising 513 908 to the power 2", or "513 908 squared".
The square of 513 908 is 264 101 432 464 because 513 908 × 513 908 = 513 9082 = 264 101 432 464.
As a consequence, 513 908 is the square root of 264 101 432 464.
The multiples of 513 908 are all integers evenly divisible by 513 908, that is all numbers such that the remainder of the division by 513 908 is zero. There are infinitely many multiples of 513 908. The smallest multiples of 513 908 are: