It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 5 398 109 is not a prime number.
For example, 5 398 109 can be divided by 19: 5 398 109 / 19 = 284 111.
For 5 398 109 to be a prime number, it would have been required that 5 398 109 has only two divisors, i.e., itself and 1.
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5 398 109 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 5 398 109 is about 2 323.383.
Thus, the square root of 5 398 109 is not an integer, and therefore 5 398 109 is not a square number.
The square of a number (here 5 398 109) is the result of the product of this number (5 398 109) by itself (i.e., 5 398 109 × 5 398 109); the square of 5 398 109 is sometimes called "raising 5 398 109 to the power 2", or "5 398 109 squared".
The square of 5 398 109 is 29 139 580 775 881 because 5 398 109 × 5 398 109 = 5 398 1092 = 29 139 580 775 881.
As a consequence, 5 398 109 is the square root of 29 139 580 775 881.
The multiples of 5 398 109 are all integers evenly divisible by 5 398 109, that is all numbers such that the remainder of the division by 5 398 109 is zero. There are infinitely many multiples of 5 398 109. The smallest multiples of 5 398 109 are: