86867506013013 has 32 divisors (see below), whose sum is σ = 144920700825600. Its totient is φ = 50948683873200.

The previous prime is 86867506012999. The next prime is 86867506013033. The reversal of 86867506013013 is 31031060576868.

86867506013013 is a `hidden beast` number, since 8 + 68 + 67 + 506 + 0 + 1 + 3 + 0 + 13 = 666.

It is not a de Polignac number, because 86867506013013 - 2⁵ = 86867506012981 is a prime.

It is a super-3 number, since 3×86867506013013³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86867506013033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4717461523 + ... + 4717479936.

It is an arithmetic number, because the mean of its divisors is an integer number (4528771900800).

Almost surely, 2^{86867506013013} is an apocalyptic number.

It is an amenable number.

86867506013013 is a deficient number, since it is larger than the sum of its proper divisors (58053194812587).

86867506013013 is a wasteful number, since it uses less digits than its factorization.

86867506013013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9434941510 (or 9434941504 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 86867506013013 in words is "eighty-six trillion, eight hundred sixty-seven billion, five hundred six million, thirteen thousand, thirteen".