It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 61 513 is not a prime number.
For example, 61 513 can be divided by 137: 61 513 / 137 = 449.
For 61 513 to be a prime number, it would have been required that 61 513 has only two divisors, i.e., itself and 1.
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61 513 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 61 513 is about 248.018.
Thus, the square root of 61 513 is not an integer, and therefore 61 513 is not a square number.
The square of a number (here 61 513) is the result of the product of this number (61 513) by itself (i.e., 61 513 × 61 513); the square of 61 513 is sometimes called "raising 61 513 to the power 2", or "61 513 squared".
The square of 61 513 is 3 783 849 169 because 61 513 × 61 513 = 61 5132 = 3 783 849 169.
As a consequence, 61 513 is the square root of 3 783 849 169.
The multiples of 61 513 are all integers evenly divisible by 61 513, that is all numbers such that the remainder of the division by 61 513 is zero. There are infinitely many multiples of 61 513. The smallest multiples of 61 513 are: