It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 8 538 109 is not a prime number.
For example, 8 538 109 can be divided by 61: 8 538 109 / 61 = 139 969.
For 8 538 109 to be a prime number, it would have been required that 8 538 109 has only two divisors, i.e., itself and 1.
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8 538 109 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 8 538 109 is about 2 922.004.
Thus, the square root of 8 538 109 is not an integer, and therefore 8 538 109 is not a square number.
The square of a number (here 8 538 109) is the result of the product of this number (8 538 109) by itself (i.e., 8 538 109 × 8 538 109); the square of 8 538 109 is sometimes called "raising 8 538 109 to the power 2", or "8 538 109 squared".
The square of 8 538 109 is 72 899 305 295 881 because 8 538 109 × 8 538 109 = 8 538 1092 = 72 899 305 295 881.
As a consequence, 8 538 109 is the square root of 72 899 305 295 881.
The multiples of 8 538 109 are all integers evenly divisible by 8 538 109, that is all numbers such that the remainder of the division by 8 538 109 is zero. There are infinitely many multiples of 8 538 109. The smallest multiples of 8 538 109 are: