It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 510 712 is not a prime number.
For example, 510 712 can be divided by 2: 510 712 / 2 = 255 356.
For 510 712 to be a prime number, it would have been required that 510 712 has only two divisors, i.e., itself and 1.
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510 712 is an even number, because it is evenly divisible by 2: 510 712 / 2 = 255 356.
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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 510 712 is about 714.641.
Thus, the square root of 510 712 is not an integer, and therefore 510 712 is not a square number.
The square of a number (here 510 712) is the result of the product of this number (510 712) by itself (i.e., 510 712 × 510 712); the square of 510 712 is sometimes called "raising 510 712 to the power 2", or "510 712 squared".
The square of 510 712 is 260 826 746 944 because 510 712 × 510 712 = 510 7122 = 260 826 746 944.
As a consequence, 510 712 is the square root of 260 826 746 944.
The multiples of 510 712 are all integers evenly divisible by 510 712, that is all numbers such that the remainder of the division by 510 712 is zero. There are infinitely many multiples of 510 712. The smallest multiples of 510 712 are: