It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 601 537 is not a prime number.
For example, 601 537 can be divided by 607: 601 537 / 607 = 991.
For 601 537 to be a prime number, it would have been required that 601 537 has only two divisors, i.e., itself and 1.
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601 537 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 601 537 is about 775.588.
Thus, the square root of 601 537 is not an integer, and therefore 601 537 is not a square number.
The square of a number (here 601 537) is the result of the product of this number (601 537) by itself (i.e., 601 537 × 601 537); the square of 601 537 is sometimes called "raising 601 537 to the power 2", or "601 537 squared".
The square of 601 537 is 361 846 762 369 because 601 537 × 601 537 = 601 5372 = 361 846 762 369.
As a consequence, 601 537 is the square root of 361 846 762 369.
The multiples of 601 537 are all integers evenly divisible by 601 537, that is all numbers such that the remainder of the division by 601 537 is zero. There are infinitely many multiples of 601 537. The smallest multiples of 601 537 are: