It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 5 561 567 is not a prime number.
For example, 5 561 567 can be divided by 11: 5 561 567 / 11 = 505 597.
For 5 561 567 to be a prime number, it would have been required that 5 561 567 has only two divisors, i.e., itself and 1.
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5 561 567 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 5 561 567 is about 2 358.297.
Thus, the square root of 5 561 567 is not an integer, and therefore 5 561 567 is not a square number.
The square of a number (here 5 561 567) is the result of the product of this number (5 561 567) by itself (i.e., 5 561 567 × 5 561 567); the square of 5 561 567 is sometimes called "raising 5 561 567 to the power 2", or "5 561 567 squared".
The square of 5 561 567 is 30 931 027 495 489 because 5 561 567 × 5 561 567 = 5 561 5672 = 30 931 027 495 489.
As a consequence, 5 561 567 is the square root of 30 931 027 495 489.
The multiples of 5 561 567 are all integers evenly divisible by 5 561 567, that is all numbers such that the remainder of the division by 5 561 567 is zero. There are infinitely many multiples of 5 561 567. The smallest multiples of 5 561 567 are: