It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 2 253 001 is not a prime number.
For example, 2 253 001 can be divided by 19: 2 253 001 / 19 = 118 579.
For 2 253 001 to be a prime number, it would have been required that 2 253 001 has only two divisors, i.e., itself and 1.
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2 253 001 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 2 253 001 is 1 501.
Therefore, the square root of 2 253 001 is an integer, and as a consequence 2 253 001 is a perfect square.
The square of a number (here 2 253 001) is the result of the product of this number (2 253 001) by itself (i.e., 2 253 001 × 2 253 001); the square of 2 253 001 is sometimes called "raising 2 253 001 to the power 2", or "2 253 001 squared".
The square of 2 253 001 is 5 076 013 506 001 because 2 253 001 × 2 253 001 = 2 253 0012 = 5 076 013 506 001.
As a consequence, 2 253 001 is the square root of 5 076 013 506 001.
The multiples of 2 253 001 are all integers evenly divisible by 2 253 001, that is all numbers such that the remainder of the division by 2 253 001 is zero. There are infinitely many multiples of 2 253 001. The smallest multiples of 2 253 001 are: