It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 521 838 is not a prime number.
For example, 521 838 can be divided by 2: 521 838 / 2 = 260 919.
For 521 838 to be a prime number, it would have been required that 521 838 has only two divisors, i.e., itself and 1.
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521 838 is an even number, because it is evenly divisible by 2: 521 838 / 2 = 260 919.
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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 521 838 is about 722.384.
Thus, the square root of 521 838 is not an integer, and therefore 521 838 is not a square number.
The square of a number (here 521 838) is the result of the product of this number (521 838) by itself (i.e., 521 838 × 521 838); the square of 521 838 is sometimes called "raising 521 838 to the power 2", or "521 838 squared".
The square of 521 838 is 272 314 898 244 because 521 838 × 521 838 = 521 8382 = 272 314 898 244.
As a consequence, 521 838 is the square root of 272 314 898 244.
The multiples of 521 838 are all integers evenly divisible by 521 838, that is all numbers such that the remainder of the division by 521 838 is zero. There are infinitely many multiples of 521 838. The smallest multiples of 521 838 are: