Is 502001 a prime number?

502 001 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 502 001 is about 708.520.

Thus, the square root of 502 001 is not an integer, and therefore 502 001 is not a square number.

Anyway, 502 001 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 502 001) is the result of the product of this number (502 001) by itself (i.e., 502 001 × 502 001); the square of 502 001 is sometimes called "raising 502 001 to the power 2", or "502 001 squared".

The square of 502 001 is 252 005 004 001 because 502 001 × 502 001 = 502 001² = 252 005 004 001.

As a consequence, 502 001 is the square root of 252 005 004 001.

502 001 is a number with 6 digits.

The multiples of 502 001 are all integers evenly divisible by 502 001, that is all numbers such that the remainder of the division by 502 001 is zero. There are infinitely many multiples of 502 001. The smallest multiples of 502 001 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 502 001 too, since 0 × 502 001 = 0
• 502 001: indeed, 502 001 is a multiple of itself, since 502 001 is evenly divisible by 502 001 (we have 502 001 / 502 001 = 1, so the remainder of this division is indeed zero)
• 1 004 002: indeed, 1 004 002 = 502 001 × 2
• 1 506 003: indeed, 1 506 003 = 502 001 × 3
• 2 008 004: indeed, 2 008 004 = 502 001 × 4
• 2 510 005: indeed, 2 510 005 = 502 001 × 5
• etc.

• Preceding numbers: …501 999, 502 000
• Following numbers: 502 002, 502 003…

Nearest numbers from 502 001

• Preceding prime number: 501 997
• Following prime number: 502 013

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• 502 001 est-il un nombre premier ?