It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 264 253 is not a prime number.
For example, 264 253 can be divided by 11: 264 253 / 11 = 24 023.
For 264 253 to be a prime number, it would have been required that 264 253 has only two divisors, i.e., itself and 1.
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264 253 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 264 253 is about 514.055.
Thus, the square root of 264 253 is not an integer, and therefore 264 253 is not a square number.
The square of a number (here 264 253) is the result of the product of this number (264 253) by itself (i.e., 264 253 × 264 253); the square of 264 253 is sometimes called "raising 264 253 to the power 2", or "264 253 squared".
The square of 264 253 is 69 829 648 009 because 264 253 × 264 253 = 264 2532 = 69 829 648 009.
As a consequence, 264 253 is the square root of 69 829 648 009.
The multiples of 264 253 are all integers evenly divisible by 264 253, that is all numbers such that the remainder of the division by 264 253 is zero. There are infinitely many multiples of 264 253. The smallest multiples of 264 253 are: