It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 515 513 is not a prime number.
For example, 515 513 can be divided by 83: 515 513 / 83 = 6 211.
For 515 513 to be a prime number, it would have been required that 515 513 has only two divisors, i.e., itself and 1.
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515 513 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 515 513 is about 717.992.
Thus, the square root of 515 513 is not an integer, and therefore 515 513 is not a square number.
The square of a number (here 515 513) is the result of the product of this number (515 513) by itself (i.e., 515 513 × 515 513); the square of 515 513 is sometimes called "raising 515 513 to the power 2", or "515 513 squared".
The square of 515 513 is 265 753 653 169 because 515 513 × 515 513 = 515 5132 = 265 753 653 169.
As a consequence, 515 513 is the square root of 265 753 653 169.
The multiples of 515 513 are all integers evenly divisible by 515 513, that is all numbers such that the remainder of the division by 515 513 is zero. There are infinitely many multiples of 515 513. The smallest multiples of 515 513 are: