It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 5 564 339 is not a prime number.
For example, 5 564 339 can be divided by 11: 5 564 339 / 11 = 505 849.
For 5 564 339 to be a prime number, it would have been required that 5 564 339 has only two divisors, i.e., itself and 1.
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5 564 339 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 5 564 339 is about 2 358.885.
Thus, the square root of 5 564 339 is not an integer, and therefore 5 564 339 is not a square number.
The square of a number (here 5 564 339) is the result of the product of this number (5 564 339) by itself (i.e., 5 564 339 × 5 564 339); the square of 5 564 339 is sometimes called "raising 5 564 339 to the power 2", or "5 564 339 squared".
The square of 5 564 339 is 30 961 868 506 921 because 5 564 339 × 5 564 339 = 5 564 3392 = 30 961 868 506 921.
As a consequence, 5 564 339 is the square root of 30 961 868 506 921.
The multiples of 5 564 339 are all integers evenly divisible by 5 564 339, that is all numbers such that the remainder of the division by 5 564 339 is zero. There are infinitely many multiples of 5 564 339. The smallest multiples of 5 564 339 are: