It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 318 is not a prime number.
For example, 508 318 can be divided by 2: 508 318 / 2 = 254 159.
For 508 318 to be a prime number, it would have been required that 508 318 has only two divisors, i.e., itself and 1.
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508 318 is an even number, because it is evenly divisible by 2: 508 318 / 2 = 254 159.
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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 508 318 is about 712.964.
Thus, the square root of 508 318 is not an integer, and therefore 508 318 is not a square number.
The square of a number (here 508 318) is the result of the product of this number (508 318) by itself (i.e., 508 318 × 508 318); the square of 508 318 is sometimes called "raising 508 318 to the power 2", or "508 318 squared".
The square of 508 318 is 258 387 189 124 because 508 318 × 508 318 = 508 3182 = 258 387 189 124.
As a consequence, 508 318 is the square root of 258 387 189 124.
The multiples of 508 318 are all integers evenly divisible by 508 318, that is all numbers such that the remainder of the division by 508 318 is zero. There are infinitely many multiples of 508 318. The smallest multiples of 508 318 are: