It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 512 489 is not a prime number.
For example, 512 489 can be divided by 677: 512 489 / 677 = 757.
For 512 489 to be a prime number, it would have been required that 512 489 has only two divisors, i.e., itself and 1.
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512 489 is an odd number, because it is not evenly divisible by 2.
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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 512 489 is about 715.883.
Thus, the square root of 512 489 is not an integer, and therefore 512 489 is not a square number.
The square of a number (here 512 489) is the result of the product of this number (512 489) by itself (i.e., 512 489 × 512 489); the square of 512 489 is sometimes called "raising 512 489 to the power 2", or "512 489 squared".
The square of 512 489 is 262 644 975 121 because 512 489 × 512 489 = 512 4892 = 262 644 975 121.
As a consequence, 512 489 is the square root of 262 644 975 121.
The multiples of 512 489 are all integers evenly divisible by 512 489, that is all numbers such that the remainder of the division by 512 489 is zero. There are infinitely many multiples of 512 489. The smallest multiples of 512 489 are: