It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 521 214 is not a prime number.
For example, 521 214 can be divided by 2: 521 214 / 2 = 260 607.
For 521 214 to be a prime number, it would have been required that 521 214 has only two divisors, i.e., itself and 1.
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521 214 is an even number, because it is evenly divisible by 2: 521 214 / 2 = 260 607.
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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 521 214 is about 721.952.
Thus, the square root of 521 214 is not an integer, and therefore 521 214 is not a square number.
The square of a number (here 521 214) is the result of the product of this number (521 214) by itself (i.e., 521 214 × 521 214); the square of 521 214 is sometimes called "raising 521 214 to the power 2", or "521 214 squared".
The square of 521 214 is 271 664 033 796 because 521 214 × 521 214 = 521 2142 = 271 664 033 796.
As a consequence, 521 214 is the square root of 271 664 033 796.
The multiples of 521 214 are all integers evenly divisible by 521 214, that is all numbers such that the remainder of the division by 521 214 is zero. There are infinitely many multiples of 521 214. The smallest multiples of 521 214 are: