It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 507 574 is not a prime number.
For example, 507 574 can be divided by 2: 507 574 / 2 = 253 787.
For 507 574 to be a prime number, it would have been required that 507 574 has only two divisors, i.e., itself and 1.
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507 574 is an even number, because it is evenly divisible by 2: 507 574 / 2 = 253 787.
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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 507 574 is about 712.442.
Thus, the square root of 507 574 is not an integer, and therefore 507 574 is not a square number.
The square of a number (here 507 574) is the result of the product of this number (507 574) by itself (i.e., 507 574 × 507 574); the square of 507 574 is sometimes called "raising 507 574 to the power 2", or "507 574 squared".
The square of 507 574 is 257 631 365 476 because 507 574 × 507 574 = 507 5742 = 257 631 365 476.
As a consequence, 507 574 is the square root of 257 631 365 476.
The multiples of 507 574 are all integers evenly divisible by 507 574, that is all numbers such that the remainder of the division by 507 574 is zero. There are infinitely many multiples of 507 574. The smallest multiples of 507 574 are: