It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 513 334 is not a prime number.
For example, 513 334 can be divided by 2: 513 334 / 2 = 256 667.
For 513 334 to be a prime number, it would have been required that 513 334 has only two divisors, i.e., itself and 1.
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513 334 is an even number, because it is evenly divisible by 2: 513 334 / 2 = 256 667.
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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 513 334 is about 716.473.
Thus, the square root of 513 334 is not an integer, and therefore 513 334 is not a square number.
The square of a number (here 513 334) is the result of the product of this number (513 334) by itself (i.e., 513 334 × 513 334); the square of 513 334 is sometimes called "raising 513 334 to the power 2", or "513 334 squared".
The square of 513 334 is 263 511 795 556 because 513 334 × 513 334 = 513 3342 = 263 511 795 556.
As a consequence, 513 334 is the square root of 263 511 795 556.
The multiples of 513 334 are all integers evenly divisible by 513 334, that is all numbers such that the remainder of the division by 513 334 is zero. There are infinitely many multiples of 513 334. The smallest multiples of 513 334 are: