82532866823528 has 64 divisors (see below), whose sum is σ = 172748171059200. Its totient is φ = 36641446591680.

The previous prime is 82532866823501. The next prime is 82532866823531.

82532866823528 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×82532866823528² (a number of 29 digits) contains 22 as substring.

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, 139724633 + ... + 140314071.

It is an arithmetic number, because the mean of its divisors is an integer number (2699190172800).

Almost surely, 2^{82532866823528} is an apocalyptic number.

82532866823528 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82532866823528 is an abundant number, since it is smaller than the sum of its proper divisors (90215304235672).

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

82532866823528 is a wasteful number, since it uses less digits than its factorization.

82532866823528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626502 (or 626498 counting only the distinct ones).

The product of its digits is 530841600, while the sum is 68.

The spelling of 82532866823528 in words is "eighty-two trillion, five hundred thirty-two billion, eight hundred sixty-six million, eight hundred twenty-three thousand, five hundred twenty-eight".