It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 574 is not a prime number.
For example, 508 574 can be divided by 2: 508 574 / 2 = 254 287.
For 508 574 to be a prime number, it would have been required that 508 574 has only two divisors, i.e., itself and 1.
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508 574 is an even number, because it is evenly divisible by 2: 508 574 / 2 = 254 287.
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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 508 574 is about 713.144.
Thus, the square root of 508 574 is not an integer, and therefore 508 574 is not a square number.
The square of a number (here 508 574) is the result of the product of this number (508 574) by itself (i.e., 508 574 × 508 574); the square of 508 574 is sometimes called "raising 508 574 to the power 2", or "508 574 squared".
The square of 508 574 is 258 647 513 476 because 508 574 × 508 574 = 508 5742 = 258 647 513 476.
As a consequence, 508 574 is the square root of 258 647 513 476.
The multiples of 508 574 are all integers evenly divisible by 508 574, that is all numbers such that the remainder of the division by 508 574 is zero. There are infinitely many multiples of 508 574. The smallest multiples of 508 574 are: