It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 563 513 is not a prime number.
For example, 563 513 can be divided by 103: 563 513 / 103 = 5 471.
For 563 513 to be a prime number, it would have been required that 563 513 has only two divisors, i.e., itself and 1.
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563 513 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 563 513 is about 750.675.
Thus, the square root of 563 513 is not an integer, and therefore 563 513 is not a square number.
The square of a number (here 563 513) is the result of the product of this number (563 513) by itself (i.e., 563 513 × 563 513); the square of 563 513 is sometimes called "raising 563 513 to the power 2", or "563 513 squared".
The square of 563 513 is 317 546 901 169 because 563 513 × 563 513 = 563 5132 = 317 546 901 169.
As a consequence, 563 513 is the square root of 317 546 901 169.
The multiples of 563 513 are all integers evenly divisible by 563 513, that is all numbers such that the remainder of the division by 563 513 is zero. There are infinitely many multiples of 563 513. The smallest multiples of 563 513 are: