It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 516 538 is not a prime number.
For example, 516 538 can be divided by 2: 516 538 / 2 = 258 269.
For 516 538 to be a prime number, it would have been required that 516 538 has only two divisors, i.e., itself and 1.
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516 538 is an even number, because it is evenly divisible by 2: 516 538 / 2 = 258 269.
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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 516 538 is about 718.706.
Thus, the square root of 516 538 is not an integer, and therefore 516 538 is not a square number.
The square of a number (here 516 538) is the result of the product of this number (516 538) by itself (i.e., 516 538 × 516 538); the square of 516 538 is sometimes called "raising 516 538 to the power 2", or "516 538 squared".
The square of 516 538 is 266 811 505 444 because 516 538 × 516 538 = 516 5382 = 266 811 505 444.
As a consequence, 516 538 is the square root of 266 811 505 444.
The multiples of 516 538 are all integers evenly divisible by 516 538, that is all numbers such that the remainder of the division by 516 538 is zero. There are infinitely many multiples of 516 538. The smallest multiples of 516 538 are: