1159312016017 has 16 divisors (see below), whose sum is σ = 1206369009664. Its totient is φ = 1112862240000.

The previous prime is 1159312015943. The next prime is 1159312016021. The reversal of 1159312016017 is 7106102139511.

It is a cyclic number.

It is not a de Polignac number, because 1159312016017 - 2¹¹ = 1159312013969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1159312016047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22182517 + ... + 22234717.

It is an arithmetic number, because the mean of its divisors is an integer number (75398063104).

Almost surely, 2^{1159312016017} is an apocalyptic number.

It is an amenable number.

1159312016017 is a deficient number, since it is larger than the sum of its proper divisors (47056993647).

1159312016017 is a wasteful number, since it uses less digits than its factorization.

1159312016017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58000.

The product of its (nonzero) digits is 11340, while the sum is 37.

The spelling of 1159312016017 in words is "one trillion, one hundred fifty-nine billion, three hundred twelve million, sixteen thousand, seventeen".