It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 513 712 is not a prime number.
For example, 513 712 can be divided by 2: 513 712 / 2 = 256 856.
For 513 712 to be a prime number, it would have been required that 513 712 has only two divisors, i.e., itself and 1.
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513 712 is an even number, because it is evenly divisible by 2: 513 712 / 2 = 256 856.
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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 513 712 is about 716.737.
Thus, the square root of 513 712 is not an integer, and therefore 513 712 is not a square number.
The square of a number (here 513 712) is the result of the product of this number (513 712) by itself (i.e., 513 712 × 513 712); the square of 513 712 is sometimes called "raising 513 712 to the power 2", or "513 712 squared".
The square of 513 712 is 263 900 018 944 because 513 712 × 513 712 = 513 7122 = 263 900 018 944.
As a consequence, 513 712 is the square root of 263 900 018 944.
The multiples of 513 712 are all integers evenly divisible by 513 712, that is all numbers such that the remainder of the division by 513 712 is zero. There are infinitely many multiples of 513 712. The smallest multiples of 513 712 are: