It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 12 521 is not a prime number.
For example, 12 521 can be divided by 19: 12 521 / 19 = 659.
For 12 521 to be a prime number, it would have been required that 12 521 has only two divisors, i.e., itself and 1.
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12 521 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 12 521 is about 111.897.
Thus, the square root of 12 521 is not an integer, and therefore 12 521 is not a square number.
The square of a number (here 12 521) is the result of the product of this number (12 521) by itself (i.e., 12 521 × 12 521); the square of 12 521 is sometimes called "raising 12 521 to the power 2", or "12 521 squared".
The square of 12 521 is 156 775 441 because 12 521 × 12 521 = 12 5212 = 156 775 441.
As a consequence, 12 521 is the square root of 156 775 441.
The multiples of 12 521 are all integers evenly divisible by 12 521, that is all numbers such that the remainder of the division by 12 521 is zero. There are infinitely many multiples of 12 521. The smallest multiples of 12 521 are: