It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 5 114 629 is not a prime number.
For example, 5 114 629 can be divided by 13: 5 114 629 / 13 = 393 433.
For 5 114 629 to be a prime number, it would have been required that 5 114 629 has only two divisors, i.e., itself and 1.
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5 114 629 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 5 114 629 is about 2 261.555.
Thus, the square root of 5 114 629 is not an integer, and therefore 5 114 629 is not a square number.
The square of a number (here 5 114 629) is the result of the product of this number (5 114 629) by itself (i.e., 5 114 629 × 5 114 629); the square of 5 114 629 is sometimes called "raising 5 114 629 to the power 2", or "5 114 629 squared".
The square of 5 114 629 is 26 159 429 807 641 because 5 114 629 × 5 114 629 = 5 114 6292 = 26 159 429 807 641.
As a consequence, 5 114 629 is the square root of 26 159 429 807 641.
The multiples of 5 114 629 are all integers evenly divisible by 5 114 629, that is all numbers such that the remainder of the division by 5 114 629 is zero. There are infinitely many multiples of 5 114 629. The smallest multiples of 5 114 629 are: