Is 52009 a prime number?

52 009 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 52 009 is about 228.055.

Thus, the square root of 52 009 is not an integer, and therefore 52 009 is not a square number.

Anyway, 52 009 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 52 009) is the result of the product of this number (52 009) by itself (i.e., 52 009 × 52 009); the square of 52 009 is sometimes called "raising 52 009 to the power 2", or "52 009 squared".

The square of 52 009 is 2 704 936 081 because 52 009 × 52 009 = 52 009² = 2 704 936 081.

As a consequence, 52 009 is the square root of 2 704 936 081.

52 009 is a number with 5 digits.

The multiples of 52 009 are all integers evenly divisible by 52 009, that is all numbers such that the remainder of the division by 52 009 is zero. There are infinitely many multiples of 52 009. The smallest multiples of 52 009 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 52 009 too, since 0 × 52 009 = 0
• 52 009: indeed, 52 009 is a multiple of itself, since 52 009 is evenly divisible by 52 009 (we have 52 009 / 52 009 = 1, so the remainder of this division is indeed zero)
• 104 018: indeed, 104 018 = 52 009 × 2
• 156 027: indeed, 156 027 = 52 009 × 3
• 208 036: indeed, 208 036 = 52 009 × 4
• 260 045: indeed, 260 045 = 52 009 × 5
• etc.

• Preceding numbers: …52 007, 52 008
• Following numbers: 52 010, 52 011…

Nearest numbers from 52 009

• Preceding prime number: 51 991
• Following prime number: 52 021

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• 52 009 est-il un nombre premier ?