It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 7 535 023 is not a prime number.
For example, 7 535 023 can be divided by 2 089: 7 535 023 / 2089 = 3 607.
For 7 535 023 to be a prime number, it would have been required that 7 535 023 has only two divisors, i.e., itself and 1.
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7 535 023 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 7 535 023 is about 2 745.000.
Thus, the square root of 7 535 023 is not an integer, and therefore 7 535 023 is not a square number.
The square of a number (here 7 535 023) is the result of the product of this number (7 535 023) by itself (i.e., 7 535 023 × 7 535 023); the square of 7 535 023 is sometimes called "raising 7 535 023 to the power 2", or "7 535 023 squared".
The square of 7 535 023 is 56 776 571 610 529 because 7 535 023 × 7 535 023 = 7 535 0232 = 56 776 571 610 529.
As a consequence, 7 535 023 is the square root of 56 776 571 610 529.
The multiples of 7 535 023 are all integers evenly divisible by 7 535 023, that is all numbers such that the remainder of the division by 7 535 023 is zero. There are infinitely many multiples of 7 535 023. The smallest multiples of 7 535 023 are: