82523255232528 has 80 divisors (see below), whose sum is σ = 258406152763200. Its totient is φ = 25007047038720.

The previous prime is 82523255232503. The next prime is 82523255232541.

82523255232528 is a `hidden beast` number, since 8 + 2 + 5 + 2 + 3 + 2 + 552 + 32 + 52 + 8 = 666.

82523255232528 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 8682997693 + ... + 8683007196.

It is an arithmetic number, because the mean of its divisors is an integer number (3230076909540).

Almost surely, 2^{82523255232528} is an apocalyptic number.

82523255232528 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82523255232528 is an abundant number, since it is smaller than the sum of its proper divisors (175882897530672).

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

82523255232528 is a wasteful number, since it uses less digits than its factorization.

82523255232528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17366004917 (or 17366004905 counting only the distinct ones).

The product of its digits is 23040000, while the sum is 54.

The spelling of 82523255232528 in words is "eighty-two trillion, five hundred twenty-three billion, two hundred fifty-five million, two hundred thirty-two thousand, five hundred twenty-eight".