It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 513 634 is not a prime number.
For example, 513 634 can be divided by 2: 513 634 / 2 = 256 817.
For 513 634 to be a prime number, it would have been required that 513 634 has only two divisors, i.e., itself and 1.
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513 634 is an even number, because it is evenly divisible by 2: 513 634 / 2 = 256 817.
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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 513 634 is about 716.683.
Thus, the square root of 513 634 is not an integer, and therefore 513 634 is not a square number.
The square of a number (here 513 634) is the result of the product of this number (513 634) by itself (i.e., 513 634 × 513 634); the square of 513 634 is sometimes called "raising 513 634 to the power 2", or "513 634 squared".
The square of 513 634 is 263 819 885 956 because 513 634 × 513 634 = 513 6342 = 263 819 885 956.
As a consequence, 513 634 is the square root of 263 819 885 956.
The multiples of 513 634 are all integers evenly divisible by 513 634, that is all numbers such that the remainder of the division by 513 634 is zero. There are infinitely many multiples of 513 634. The smallest multiples of 513 634 are: