82889576613 has 32 divisors (see below), whose sum is σ = 125561446400. Its totient is φ = 54030373488.

The previous prime is 82889576591. The next prime is 82889576617. The reversal of 82889576613 is 31667598828.

82889576613 is a `hidden beast` number, since 8 + 2 + 8 + 8 + 9 + 5 + 7 + 6 + 613 = 666.

It is not a de Polignac number, because 82889576613 - 2⁹ = 82889576101 is a prime.

It is a super-2 number, since 2×82889576613² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82889576617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31056 + ... + 408342.

It is an arithmetic number, because the mean of its divisors is an integer number (3923795200).

Almost surely, 2^82889576613 is an apocalyptic number.

It is an amenable number.

82889576613 is a deficient number, since it is larger than the sum of its proper divisors (42671869787).

82889576613 is a wasteful number, since it uses less digits than its factorization.

82889576613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377478 (or 377472 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 82889576613 in words is "eighty-two billion, eight hundred eighty-nine million, five hundred seventy-six thousand, six hundred thirteen".