It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 516 513 is not a prime number.
For example, 516 513 can be divided by 3: 516 513 / 3 = 172 171.
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For 516 513 to be a prime number, it would have been required that 516 513 has only two divisors, i.e., itself and 1.
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516 513 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 516 513 is about 718.688.
Thus, the square root of 516 513 is not an integer, and therefore 516 513 is not a square number.
The square of a number (here 516 513) is the result of the product of this number (516 513) by itself (i.e., 516 513 × 516 513); the square of 516 513 is sometimes called "raising 516 513 to the power 2", or "516 513 squared".
The square of 516 513 is 266 785 679 169 because 516 513 × 516 513 = 516 5132 = 266 785 679 169.
As a consequence, 516 513 is the square root of 266 785 679 169.
The multiples of 516 513 are all integers evenly divisible by 516 513, that is all numbers such that the remainder of the division by 516 513 is zero. There are infinitely many multiples of 516 513. The smallest multiples of 516 513 are: