It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 508 514 is not a prime number.
For example, 508 514 can be divided by 2: 508 514 / 2 = 254 257.
For 508 514 to be a prime number, it would have been required that 508 514 has only two divisors, i.e., itself and 1.
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508 514 is an even number, because it is evenly divisible by 2: 508 514 / 2 = 254 257.
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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 508 514 is about 713.102.
Thus, the square root of 508 514 is not an integer, and therefore 508 514 is not a square number.
The square of a number (here 508 514) is the result of the product of this number (508 514) by itself (i.e., 508 514 × 508 514); the square of 508 514 is sometimes called "raising 508 514 to the power 2", or "508 514 squared".
The square of 508 514 is 258 586 488 196 because 508 514 × 508 514 = 508 5142 = 258 586 488 196.
As a consequence, 508 514 is the square root of 258 586 488 196.
The multiples of 508 514 are all integers evenly divisible by 508 514, that is all numbers such that the remainder of the division by 508 514 is zero. There are infinitely many multiples of 508 514. The smallest multiples of 508 514 are: