It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 513 361 is not a prime number.
For example, 513 361 can be divided by 19: 513 361 / 19 = 27 019.
For 513 361 to be a prime number, it would have been required that 513 361 has only two divisors, i.e., itself and 1.
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513 361 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 513 361 is about 716.492.
Thus, the square root of 513 361 is not an integer, and therefore 513 361 is not a square number.
The square of a number (here 513 361) is the result of the product of this number (513 361) by itself (i.e., 513 361 × 513 361); the square of 513 361 is sometimes called "raising 513 361 to the power 2", or "513 361 squared".
The square of 513 361 is 263 539 516 321 because 513 361 × 513 361 = 513 3612 = 263 539 516 321.
As a consequence, 513 361 is the square root of 263 539 516 321.
The multiples of 513 361 are all integers evenly divisible by 513 361, that is all numbers such that the remainder of the division by 513 361 is zero. There are infinitely many multiples of 513 361. The smallest multiples of 513 361 are: