It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 5 138 549 is not a prime number.
For example, 5 138 549 can be divided by 13: 5 138 549 / 13 = 395 273.
For 5 138 549 to be a prime number, it would have been required that 5 138 549 has only two divisors, i.e., itself and 1.
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5 138 549 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 5 138 549 is about 2 266.837.
Thus, the square root of 5 138 549 is not an integer, and therefore 5 138 549 is not a square number.
The square of a number (here 5 138 549) is the result of the product of this number (5 138 549) by itself (i.e., 5 138 549 × 5 138 549); the square of 5 138 549 is sometimes called "raising 5 138 549 to the power 2", or "5 138 549 squared".
The square of 5 138 549 is 26 404 685 825 401 because 5 138 549 × 5 138 549 = 5 138 5492 = 26 404 685 825 401.
As a consequence, 5 138 549 is the square root of 26 404 685 825 401.
The multiples of 5 138 549 are all integers evenly divisible by 5 138 549, that is all numbers such that the remainder of the division by 5 138 549 is zero. There are infinitely many multiples of 5 138 549. The smallest multiples of 5 138 549 are: