It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 513 707 is not a prime number.
For example, 513 707 can be divided by 107: 513 707 / 107 = 4 801.
For 513 707 to be a prime number, it would have been required that 513 707 has only two divisors, i.e., itself and 1.
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513 707 is an odd number, because it is not evenly divisible by 2.
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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 513 707 is about 716.734.
Thus, the square root of 513 707 is not an integer, and therefore 513 707 is not a square number.
The square of a number (here 513 707) is the result of the product of this number (513 707) by itself (i.e., 513 707 × 513 707); the square of 513 707 is sometimes called "raising 513 707 to the power 2", or "513 707 squared".
The square of 513 707 is 263 894 881 849 because 513 707 × 513 707 = 513 7072 = 263 894 881 849.
As a consequence, 513 707 is the square root of 263 894 881 849.
The multiples of 513 707 are all integers evenly divisible by 513 707, that is all numbers such that the remainder of the division by 513 707 is zero. There are infinitely many multiples of 513 707. The smallest multiples of 513 707 are: