Is 500001 a prime number?

500 001 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 500 001 is about 707.107.

Thus, the square root of 500 001 is not an integer, and therefore 500 001 is not a square number.

The square of a number (here 500 001) is the result of the product of this number (500 001) by itself (i.e., 500 001 × 500 001); the square of 500 001 is sometimes called "raising 500 001 to the power 2", or "500 001 squared".

The square of 500 001 is 250 001 000 001 because 500 001 × 500 001 = 500 001² = 250 001 000 001.

As a consequence, 500 001 is the square root of 250 001 000 001.

500 001 is a number with 6 digits.

The multiples of 500 001 are all integers evenly divisible by 500 001, that is all numbers such that the remainder of the division by 500 001 is zero. There are infinitely many multiples of 500 001. The smallest multiples of 500 001 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 500 001 too, since 0 × 500 001 = 0
• 500 001: indeed, 500 001 is a multiple of itself, since 500 001 is evenly divisible by 500 001 (we have 500 001 / 500 001 = 1, so the remainder of this division is indeed zero)
• 1 000 002: indeed, 1 000 002 = 500 001 × 2
• 1 500 003: indeed, 1 500 003 = 500 001 × 3
• 2 000 004: indeed, 2 000 004 = 500 001 × 4
• 2 500 005: indeed, 2 500 005 = 500 001 × 5
• etc.

• Preceding numbers: …499 999, 500 000
• Following numbers: 500 002, 500 003…

Nearest numbers from 500 001

• Preceding prime number: 499 979
• Following prime number: 500 009

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• 500 001 est-il un nombre premier ?