It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 639 is not a prime number.
For example, 508 639 can be divided by 37: 508 639 / 37 = 13 747.
For 508 639 to be a prime number, it would have been required that 508 639 has only two divisors, i.e., itself and 1.
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508 639 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 508 639 is about 713.189.
Thus, the square root of 508 639 is not an integer, and therefore 508 639 is not a square number.
The square of a number (here 508 639) is the result of the product of this number (508 639) by itself (i.e., 508 639 × 508 639); the square of 508 639 is sometimes called "raising 508 639 to the power 2", or "508 639 squared".
The square of 508 639 is 258 713 632 321 because 508 639 × 508 639 = 508 6392 = 258 713 632 321.
As a consequence, 508 639 is the square root of 258 713 632 321.
The multiples of 508 639 are all integers evenly divisible by 508 639, that is all numbers such that the remainder of the division by 508 639 is zero. There are infinitely many multiples of 508 639. The smallest multiples of 508 639 are: