Is 501601 a prime number?

501 601 is an odd number, because it is not evenly divisible by 2.

Find out more:

• What is an even number?

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 501 601 is about 708.238.

Thus, the square root of 501 601 is not an integer, and therefore 501 601 is not a square number.

Anyway, 501 601 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 501 601) is the result of the product of this number (501 601) by itself (i.e., 501 601 × 501 601); the square of 501 601 is sometimes called "raising 501 601 to the power 2", or "501 601 squared".

The square of 501 601 is 251 603 563 201 because 501 601 × 501 601 = 501 601² = 251 603 563 201.

As a consequence, 501 601 is the square root of 251 603 563 201.

501 601 is a number with 6 digits.

The multiples of 501 601 are all integers evenly divisible by 501 601, that is all numbers such that the remainder of the division by 501 601 is zero. There are infinitely many multiples of 501 601. The smallest multiples of 501 601 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 501 601 too, since 0 × 501 601 = 0
• 501 601: indeed, 501 601 is a multiple of itself, since 501 601 is evenly divisible by 501 601 (we have 501 601 / 501 601 = 1, so the remainder of this division is indeed zero)
• 1 003 202: indeed, 1 003 202 = 501 601 × 2
• 1 504 803: indeed, 1 504 803 = 501 601 × 3
• 2 006 404: indeed, 2 006 404 = 501 601 × 4
• 2 508 005: indeed, 2 508 005 = 501 601 × 5
• etc.

• Preceding numbers: …501 599, 501 600
• Following numbers: 501 602, 501 603…

Nearest numbers from 501 601

• Preceding prime number: 501 593
• Following prime number: 501 617