It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 564 514 is not a prime number.
For example, 564 514 can be divided by 2: 564 514 / 2 = 282 257.
For 564 514 to be a prime number, it would have been required that 564 514 has only two divisors, i.e., itself and 1.
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564 514 is an even number, because it is evenly divisible by 2: 564 514 / 2 = 282 257.
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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 564 514 is about 751.341.
Thus, the square root of 564 514 is not an integer, and therefore 564 514 is not a square number.
The square of a number (here 564 514) is the result of the product of this number (564 514) by itself (i.e., 564 514 × 564 514); the square of 564 514 is sometimes called "raising 564 514 to the power 2", or "564 514 squared".
The square of 564 514 is 318 676 056 196 because 564 514 × 564 514 = 564 5142 = 318 676 056 196.
As a consequence, 564 514 is the square root of 318 676 056 196.
The multiples of 564 514 are all integers evenly divisible by 564 514, that is all numbers such that the remainder of the division by 564 514 is zero. There are infinitely many multiples of 564 514. The smallest multiples of 564 514 are: