It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 512 738 is not a prime number.
For example, 512 738 can be divided by 2: 512 738 / 2 = 256 369.
For 512 738 to be a prime number, it would have been required that 512 738 has only two divisors, i.e., itself and 1.
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512 738 is an even number, because it is evenly divisible by 2: 512 738 / 2 = 256 369.
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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 512 738 is about 716.057.
Thus, the square root of 512 738 is not an integer, and therefore 512 738 is not a square number.
The square of a number (here 512 738) is the result of the product of this number (512 738) by itself (i.e., 512 738 × 512 738); the square of 512 738 is sometimes called "raising 512 738 to the power 2", or "512 738 squared".
The square of 512 738 is 262 900 256 644 because 512 738 × 512 738 = 512 7382 = 262 900 256 644.
As a consequence, 512 738 is the square root of 262 900 256 644.
The multiples of 512 738 are all integers evenly divisible by 512 738, that is all numbers such that the remainder of the division by 512 738 is zero. There are infinitely many multiples of 512 738. The smallest multiples of 512 738 are: