It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 561 216 is not a prime number.
For example, 561 216 can be divided by 2: 561 216 / 2 = 280 608.
For 561 216 to be a prime number, it would have been required that 561 216 has only two divisors, i.e., itself and 1.
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561 216 is an even number, because it is evenly divisible by 2: 561 216 / 2 = 280 608.
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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 561 216 is about 749.144.
Thus, the square root of 561 216 is not an integer, and therefore 561 216 is not a square number.
The square of a number (here 561 216) is the result of the product of this number (561 216) by itself (i.e., 561 216 × 561 216); the square of 561 216 is sometimes called "raising 561 216 to the power 2", or "561 216 squared".
The square of 561 216 is 314 963 398 656 because 561 216 × 561 216 = 561 2162 = 314 963 398 656.
As a consequence, 561 216 is the square root of 314 963 398 656.
The multiples of 561 216 are all integers evenly divisible by 561 216, that is all numbers such that the remainder of the division by 561 216 is zero. There are infinitely many multiples of 561 216. The smallest multiples of 561 216 are: