It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 513 791 is not a prime number.
For example, 513 791 can be divided by 17: 513 791 / 17 = 30 223.
For 513 791 to be a prime number, it would have been required that 513 791 has only two divisors, i.e., itself and 1.
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513 791 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 513 791 is about 716.792.
Thus, the square root of 513 791 is not an integer, and therefore 513 791 is not a square number.
The square of a number (here 513 791) is the result of the product of this number (513 791) by itself (i.e., 513 791 × 513 791); the square of 513 791 is sometimes called "raising 513 791 to the power 2", or "513 791 squared".
The square of 513 791 is 263 981 191 681 because 513 791 × 513 791 = 513 7912 = 263 981 191 681.
As a consequence, 513 791 is the square root of 263 981 191 681.
The multiples of 513 791 are all integers evenly divisible by 513 791, that is all numbers such that the remainder of the division by 513 791 is zero. There are infinitely many multiples of 513 791. The smallest multiples of 513 791 are: