It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 163 is not a prime number.
For example, 508 163 can be divided by 547: 508 163 / 547 = 929.
For 508 163 to be a prime number, it would have been required that 508 163 has only two divisors, i.e., itself and 1.
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508 163 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 508 163 is about 712.856.
Thus, the square root of 508 163 is not an integer, and therefore 508 163 is not a square number.
The square of a number (here 508 163) is the result of the product of this number (508 163) by itself (i.e., 508 163 × 508 163); the square of 508 163 is sometimes called "raising 508 163 to the power 2", or "508 163 squared".
The square of 508 163 is 258 229 634 569 because 508 163 × 508 163 = 508 1632 = 258 229 634 569.
As a consequence, 508 163 is the square root of 258 229 634 569.
The multiples of 508 163 are all integers evenly divisible by 508 163, that is all numbers such that the remainder of the division by 508 163 is zero. There are infinitely many multiples of 508 163. The smallest multiples of 508 163 are: