It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 7 518 149 is not a prime number.
For example, 7 518 149 can be divided by 137: 7 518 149 / 137 = 54 877.
For 7 518 149 to be a prime number, it would have been required that 7 518 149 has only two divisors, i.e., itself and 1.
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7 518 149 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 7 518 149 is about 2 741.924.
Thus, the square root of 7 518 149 is not an integer, and therefore 7 518 149 is not a square number.
The square of a number (here 7 518 149) is the result of the product of this number (7 518 149) by itself (i.e., 7 518 149 × 7 518 149); the square of 7 518 149 is sometimes called "raising 7 518 149 to the power 2", or "7 518 149 squared".
The square of 7 518 149 is 56 522 564 386 201 because 7 518 149 × 7 518 149 = 7 518 1492 = 56 522 564 386 201.
As a consequence, 7 518 149 is the square root of 56 522 564 386 201.
The multiples of 7 518 149 are all integers evenly divisible by 7 518 149, that is all numbers such that the remainder of the division by 7 518 149 is zero. There are infinitely many multiples of 7 518 149. The smallest multiples of 7 518 149 are: