It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 5 163 161 is not a prime number.
For example, 5 163 161 can be divided by 1 811: 5 163 161 / 1811 = 2 851.
For 5 163 161 to be a prime number, it would have been required that 5 163 161 has only two divisors, i.e., itself and 1.
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5 163 161 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 5 163 161 is about 2 272.259.
Thus, the square root of 5 163 161 is not an integer, and therefore 5 163 161 is not a square number.
The square of a number (here 5 163 161) is the result of the product of this number (5 163 161) by itself (i.e., 5 163 161 × 5 163 161); the square of 5 163 161 is sometimes called "raising 5 163 161 to the power 2", or "5 163 161 squared".
The square of 5 163 161 is 26 658 231 511 921 because 5 163 161 × 5 163 161 = 5 163 1612 = 26 658 231 511 921.
As a consequence, 5 163 161 is the square root of 26 658 231 511 921.
The multiples of 5 163 161 are all integers evenly divisible by 5 163 161, that is all numbers such that the remainder of the division by 5 163 161 is zero. There are infinitely many multiples of 5 163 161. The smallest multiples of 5 163 161 are: