2013008017 has 2 divisors, whose sum is σ = 2013008018. Its totient is φ = 2013008016.

The previous prime is 2013007987. The next prime is 2013008021. The reversal of 2013008017 is 7108003102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1946927376 + 66080641 = 44124^2 + 8129^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013008017 - 2²⁷ = 1878790289 is a prime.

It is not a weakly prime, because it can be changed into another prime (2013008057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006504008 + 1006504009.

It is an arithmetic number, because the mean of its divisors is an integer number (1006504009).

Almost surely, 2^2013008017 is an apocalyptic number.

It is an amenable number.

2013008017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013008017 is an equidigital number, since it uses as much as digits as its factorization.

2013008017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 2013008017 is about 44866.5578911510. The cubic root of 2013008017 is about 1262.6466616798.

The spelling of 2013008017 in words is "two billion, thirteen million, eight thousand, seventeen".