It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 722 513 is not a prime number.
For example, 722 513 can be divided by 11: 722 513 / 11 = 65 683.
For 722 513 to be a prime number, it would have been required that 722 513 has only two divisors, i.e., itself and 1.
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722 513 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 722 513 is about 850.008.
Thus, the square root of 722 513 is not an integer, and therefore 722 513 is not a square number.
The square of a number (here 722 513) is the result of the product of this number (722 513) by itself (i.e., 722 513 × 722 513); the square of 722 513 is sometimes called "raising 722 513 to the power 2", or "722 513 squared".
The square of 722 513 is 522 025 035 169 because 722 513 × 722 513 = 722 5132 = 522 025 035 169.
As a consequence, 722 513 is the square root of 522 025 035 169.
The multiples of 722 513 are all integers evenly divisible by 722 513, that is all numbers such that the remainder of the division by 722 513 is zero. There are infinitely many multiples of 722 513. The smallest multiples of 722 513 are: