It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 513 561 is not a prime number.
For example, 513 561 can be divided by 3: 513 561 / 3 = 171 187.
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For 513 561 to be a prime number, it would have been required that 513 561 has only two divisors, i.e., itself and 1.
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513 561 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 513 561 is about 716.632.
Thus, the square root of 513 561 is not an integer, and therefore 513 561 is not a square number.
The square of a number (here 513 561) is the result of the product of this number (513 561) by itself (i.e., 513 561 × 513 561); the square of 513 561 is sometimes called "raising 513 561 to the power 2", or "513 561 squared".
The square of 513 561 is 263 744 900 721 because 513 561 × 513 561 = 513 5612 = 263 744 900 721.
As a consequence, 513 561 is the square root of 263 744 900 721.
The multiples of 513 561 are all integers evenly divisible by 513 561, that is all numbers such that the remainder of the division by 513 561 is zero. There are infinitely many multiples of 513 561. The smallest multiples of 513 561 are: