It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 624 is not a prime number.
For example, 508 624 can be divided by 2: 508 624 / 2 = 254 312.
For 508 624 to be a prime number, it would have been required that 508 624 has only two divisors, i.e., itself and 1.
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508 624 is an even number, because it is evenly divisible by 2: 508 624 / 2 = 254 312.
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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 508 624 is about 713.179.
Thus, the square root of 508 624 is not an integer, and therefore 508 624 is not a square number.
The square of a number (here 508 624) is the result of the product of this number (508 624) by itself (i.e., 508 624 × 508 624); the square of 508 624 is sometimes called "raising 508 624 to the power 2", or "508 624 squared".
The square of 508 624 is 258 698 373 376 because 508 624 × 508 624 = 508 6242 = 258 698 373 376.
As a consequence, 508 624 is the square root of 258 698 373 376.
The multiples of 508 624 are all integers evenly divisible by 508 624, that is all numbers such that the remainder of the division by 508 624 is zero. There are infinitely many multiples of 508 624. The smallest multiples of 508 624 are: