82588000651 has 32 divisors (see below), whose sum is σ = 93660964992. Its totient is φ = 72253209600.

The previous prime is 82588000633. The next prime is 82588000673. The reversal of 82588000651 is 15600088528.

It is not a de Polignac number, because 82588000651 - 2¹⁵ = 82587967883 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82588000598 and 82588000607.

It is not an unprimeable number, because it can be changed into a prime (82588000631) 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 31 ways as a sum of consecutive naturals, for example, 16188001 + ... + 16193101.

It is an arithmetic number, because the mean of its divisors is an integer number (2926905156).

Almost surely, 2^82588000651 is an apocalyptic number.

82588000651 is the 234646-th pentagonal number.

82588000651 is a deficient number, since it is larger than the sum of its proper divisors (11072964341).

82588000651 is a wasteful number, since it uses less digits than its factorization.

82588000651 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5623.

The product of its (nonzero) digits is 153600, while the sum is 43.

The spelling of 82588000651 in words is "eighty-two billion, five hundred eighty-eight million, six hundred fifty-one", and thus it is an aban number.