It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 508 is not a prime number.
For example, 508 508 can be divided by 2: 508 508 / 2 = 254 254.
For 508 508 to be a prime number, it would have been required that 508 508 has only two divisors, i.e., itself and 1.
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508 508 is an even number, because it is evenly divisible by 2: 508 508 / 2 = 254 254.
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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 508 508 is about 713.097.
Thus, the square root of 508 508 is not an integer, and therefore 508 508 is not a square number.
The square of a number (here 508 508) is the result of the product of this number (508 508) by itself (i.e., 508 508 × 508 508); the square of 508 508 is sometimes called "raising 508 508 to the power 2", or "508 508 squared".
The square of 508 508 is 258 580 386 064 because 508 508 × 508 508 = 508 5082 = 258 580 386 064.
As a consequence, 508 508 is the square root of 258 580 386 064.
The multiples of 508 508 are all integers evenly divisible by 508 508, that is all numbers such that the remainder of the division by 508 508 is zero. There are infinitely many multiples of 508 508. The smallest multiples of 508 508 are: