82731316512 has 48 divisors (see below), whose sum is σ = 233875071360. Its totient is φ = 25455789312.

The previous prime is 82731316501. The next prime is 82731316513. The reversal of 82731316512 is 21561313728.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×82731316512² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (82731316513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33144312 + ... + 33146807.

It is an arithmetic number, because the mean of its divisors is an integer number (4872397320).

Almost surely, 2^82731316512 is an apocalyptic number.

It is an amenable number.

82731316512 is an abundant number, since it is smaller than the sum of its proper divisors (151143754848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82731316512 is a wasteful number, since it uses less digits than its factorization.

82731316512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66291145 (or 66291137 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The spelling of 82731316512 in words is "eighty-two billion, seven hundred thirty-one million, three hundred sixteen thousand, five hundred twelve".