311006009 has 2 divisors, whose sum is σ = 311006010. Its totient is φ = 311006008.

The previous prime is 311005997. The next prime is 311006011. The reversal of 311006009 is 900600113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 276490384 + 34515625 = 16628^2 + 5875^2 .

It is a cyclic number.

It is not a de Polignac number, because 311006009 - 2⁴ = 311005993 is a prime.

It is a Sophie Germain prime.

Together with 311006011, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (311006089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155503004 + 155503005.

It is an arithmetic number, because the mean of its divisors is an integer number (155503005).

Almost surely, 2^311006009 is an apocalyptic number.

It is an amenable number.

311006009 is a deficient number, since it is larger than the sum of its proper divisors (1).

311006009 is an equidigital number, since it uses as much as digits as its factorization.

311006009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 20.

The square root of 311006009 is about 17635.3624572902. The cubic root of 311006009 is about 677.5212587566.

The spelling of 311006009 in words is "three hundred eleven million, six thousand, nine".