It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 679 is not a prime number.
For example, 508 679 can be divided by 31: 508 679 / 31 = 16 409.
For 508 679 to be a prime number, it would have been required that 508 679 has only two divisors, i.e., itself and 1.
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508 679 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 508 679 is about 713.217.
Thus, the square root of 508 679 is not an integer, and therefore 508 679 is not a square number.
The square of a number (here 508 679) is the result of the product of this number (508 679) by itself (i.e., 508 679 × 508 679); the square of 508 679 is sometimes called "raising 508 679 to the power 2", or "508 679 squared".
The square of 508 679 is 258 754 325 041 because 508 679 × 508 679 = 508 6792 = 258 754 325 041.
As a consequence, 508 679 is the square root of 258 754 325 041.
The multiples of 508 679 are all integers evenly divisible by 508 679, that is all numbers such that the remainder of the division by 508 679 is zero. There are infinitely many multiples of 508 679. The smallest multiples of 508 679 are: