It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 391 is not a prime number.
For example, 508 391 can be divided by 13: 508 391 / 13 = 39 107.
For 508 391 to be a prime number, it would have been required that 508 391 has only two divisors, i.e., itself and 1.
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508 391 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 508 391 is about 713.015.
Thus, the square root of 508 391 is not an integer, and therefore 508 391 is not a square number.
The square of a number (here 508 391) is the result of the product of this number (508 391) by itself (i.e., 508 391 × 508 391); the square of 508 391 is sometimes called "raising 508 391 to the power 2", or "508 391 squared".
The square of 508 391 is 258 461 408 881 because 508 391 × 508 391 = 508 3912 = 258 461 408 881.
As a consequence, 508 391 is the square root of 258 461 408 881.
The multiples of 508 391 are all integers evenly divisible by 508 391, that is all numbers such that the remainder of the division by 508 391 is zero. There are infinitely many multiples of 508 391. The smallest multiples of 508 391 are: