It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 10 561 is not a prime number.
For example, 10 561 can be divided by 59: 10 561 / 59 = 179.
For 10 561 to be a prime number, it would have been required that 10 561 has only two divisors, i.e., itself and 1.
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10 561 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 10 561 is about 102.767.
Thus, the square root of 10 561 is not an integer, and therefore 10 561 is not a square number.
The square of a number (here 10 561) is the result of the product of this number (10 561) by itself (i.e., 10 561 × 10 561); the square of 10 561 is sometimes called "raising 10 561 to the power 2", or "10 561 squared".
The square of 10 561 is 111 534 721 because 10 561 × 10 561 = 10 5612 = 111 534 721.
As a consequence, 10 561 is the square root of 111 534 721.
The multiples of 10 561 are all integers evenly divisible by 10 561, that is all numbers such that the remainder of the division by 10 561 is zero. There are infinitely many multiples of 10 561. The smallest multiples of 10 561 are: