It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 500 508 is not a prime number.
For example, 500 508 can be divided by 2: 500 508 / 2 = 250 254.
For 500 508 to be a prime number, it would have been required that 500 508 has only two divisors, i.e., itself and 1.
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500 508 is an even number, because it is evenly divisible by 2: 500 508 / 2 = 250 254.
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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 500 508 is about 707.466.
Thus, the square root of 500 508 is not an integer, and therefore 500 508 is not a square number.
The square of a number (here 500 508) is the result of the product of this number (500 508) by itself (i.e., 500 508 × 500 508); the square of 500 508 is sometimes called "raising 500 508 to the power 2", or "500 508 squared".
The square of 500 508 is 250 508 258 064 because 500 508 × 500 508 = 500 5082 = 250 508 258 064.
As a consequence, 500 508 is the square root of 250 508 258 064.
The multiples of 500 508 are all integers evenly divisible by 500 508, that is all numbers such that the remainder of the division by 500 508 is zero. There are infinitely many multiples of 500 508. The smallest multiples of 500 508 are: