Is 250001 a prime number?

250 001 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 250 001 is about 500.001.

Thus, the square root of 250 001 is not an integer, and therefore 250 001 is not a square number.

The square of a number (here 250 001) is the result of the product of this number (250 001) by itself (i.e., 250 001 × 250 001); the square of 250 001 is sometimes called "raising 250 001 to the power 2", or "250 001 squared".

The square of 250 001 is 62 500 500 001 because 250 001 × 250 001 = 250 001² = 62 500 500 001.

As a consequence, 250 001 is the square root of 62 500 500 001.

250 001 is a number with 6 digits.

The multiples of 250 001 are all integers evenly divisible by 250 001, that is all numbers such that the remainder of the division by 250 001 is zero. There are infinitely many multiples of 250 001. The smallest multiples of 250 001 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 250 001 too, since 0 × 250 001 = 0
• 250 001: indeed, 250 001 is a multiple of itself, since 250 001 is evenly divisible by 250 001 (we have 250 001 / 250 001 = 1, so the remainder of this division is indeed zero)
• 500 002: indeed, 500 002 = 250 001 × 2
• 750 003: indeed, 750 003 = 250 001 × 3
• 1 000 004: indeed, 1 000 004 = 250 001 × 4
• 1 250 005: indeed, 1 250 005 = 250 001 × 5
• etc.

• Preceding numbers: …249 999, 250 000
• Following numbers: 250 002, 250 003…

Nearest numbers from 250 001

• Preceding prime number: 249 989
• Following prime number: 250 007