512009 has 2 divisors, whose sum is σ = 512010. Its totient is φ = 512008.

The previous prime is 511997. The next prime is 512011. The reversal of 512009 is 900215.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 511225 + 784 = 715^2 + 28^2 .

It is a cyclic number.

It is not a de Polignac number, because 512009 - 2¹⁶ = 446473 is a prime.

Together with 512011, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (512059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256004 + 256005.

It is an arithmetic number, because the mean of its divisors is an integer number (256005).

2⁵¹²⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

512009 is a deficient number, since it is larger than the sum of its proper divisors (1).

512009 is an equidigital number, since it uses as much as digits as its factorization.

512009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 512009 is about 715.5480417135. The cubic root of 512009 is about 80.0004687473. Note that the first 3 decimals are identical.

The spelling of 512009 in words is "five hundred twelve thousand, nine".