It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 20 513 is not a prime number.
For example, 20 513 can be divided by 73: 20 513 / 73 = 281.
For 20 513 to be a prime number, it would have been required that 20 513 has only two divisors, i.e., itself and 1.
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20 513 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 20 513 is about 143.224.
Thus, the square root of 20 513 is not an integer, and therefore 20 513 is not a square number.
The square of a number (here 20 513) is the result of the product of this number (20 513) by itself (i.e., 20 513 × 20 513); the square of 20 513 is sometimes called "raising 20 513 to the power 2", or "20 513 squared".
The square of 20 513 is 420 783 169 because 20 513 × 20 513 = 20 5132 = 420 783 169.
As a consequence, 20 513 is the square root of 420 783 169.
The multiples of 20 513 are all integers evenly divisible by 20 513, that is all numbers such that the remainder of the division by 20 513 is zero. There are infinitely many multiples of 20 513. The smallest multiples of 20 513 are: