It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 117 is not a prime number.
For example, 508 117 can be divided by 19: 508 117 / 19 = 26 743.
For 508 117 to be a prime number, it would have been required that 508 117 has only two divisors, i.e., itself and 1.
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508 117 is an odd number, because it is not evenly divisible by 2.
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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 508 117 is about 712.823.
Thus, the square root of 508 117 is not an integer, and therefore 508 117 is not a square number.
The square of a number (here 508 117) is the result of the product of this number (508 117) by itself (i.e., 508 117 × 508 117); the square of 508 117 is sometimes called "raising 508 117 to the power 2", or "508 117 squared".
The square of 508 117 is 258 182 885 689 because 508 117 × 508 117 = 508 1172 = 258 182 885 689.
As a consequence, 508 117 is the square root of 258 182 885 689.
The multiples of 508 117 are all integers evenly divisible by 508 117, that is all numbers such that the remainder of the division by 508 117 is zero. There are infinitely many multiples of 508 117. The smallest multiples of 508 117 are: