82513811831528 has 64 divisors (see below), whose sum is σ = 192892465152000. Its totient is φ = 32147732560320.

The previous prime is 82513811831513. The next prime is 82513811831579.

82513811831528 is nontrivially palindromic in base 10.

82513811831528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39388001 + ... + 41429967.

It is an arithmetic number, because the mean of its divisors is an integer number (3013944768000).

Almost surely, 2^{82513811831528} is an apocalyptic number.

82513811831528 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82513811831528 is an abundant number, since it is smaller than the sum of its proper divisors (110378653320472).

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

82513811831528 is a wasteful number, since it uses less digits than its factorization.

82513811831528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2107590 (or 2107586 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 56.

The spelling of 82513811831528 in words is "eighty-two trillion, five hundred thirteen billion, eight hundred eleven million, eight hundred thirty-one thousand, five hundred twenty-eight".