8056008017 has 2 divisors, whose sum is σ = 8056008018. Its totient is φ = 8056008016.

The previous prime is 8056008001. The next prime is 8056008019. The reversal of 8056008017 is 7108006508.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7561345936 + 494662081 = 86956^2 + 22241^2 .

It is a cyclic number.

It is not a de Polignac number, because 8056008017 - 2⁴ = 8056008001 is a prime.

Together with 8056008019, 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 (8056008019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4028004008 + 4028004009.

It is an arithmetic number, because the mean of its divisors is an integer number (4028004009).

Almost surely, 2^8056008017 is an apocalyptic number.

It is an amenable number.

8056008017 is a deficient number, since it is larger than the sum of its proper divisors (1).

8056008017 is an equidigital number, since it uses as much as digits as its factorization.

8056008017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13440, while the sum is 35.

The square root of 8056008017 is about 89755.2673496102. The cubic root of 8056008017 is about 2004.6564849103.

The spelling of 8056008017 in words is "eight billion, fifty-six million, eight thousand, seventeen".