It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 513 541 is not a prime number.
For example, 513 541 can be divided by 7: 513 541 / 7 = 73 363.
For 513 541 to be a prime number, it would have been required that 513 541 has only two divisors, i.e., itself and 1.
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513 541 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 513 541 is about 716.618.
Thus, the square root of 513 541 is not an integer, and therefore 513 541 is not a square number.
The square of a number (here 513 541) is the result of the product of this number (513 541) by itself (i.e., 513 541 × 513 541); the square of 513 541 is sometimes called "raising 513 541 to the power 2", or "513 541 squared".
The square of 513 541 is 263 724 358 681 because 513 541 × 513 541 = 513 5412 = 263 724 358 681.
As a consequence, 513 541 is the square root of 263 724 358 681.
The multiples of 513 541 are all integers evenly divisible by 513 541, that is all numbers such that the remainder of the division by 513 541 is zero. There are infinitely many multiples of 513 541. The smallest multiples of 513 541 are: