82563533536528 has 60 divisors (see below), whose sum is σ = 175871645393584. Its totient is φ = 37520273419200.

The previous prime is 82563533536513. The next prime is 82563533536541.

82563533536528 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 82563533536528.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3559483 + ... + 13334053.

Almost surely, 2^{82563533536528} is an apocalyptic number.

82563533536528 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82563533536528 is an abundant number, since it is smaller than the sum of its proper divisors (93308111857056).

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

82563533536528 is a wasteful number, since it uses less digits than its factorization.

82563533536528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9778964 (or 9778947 counting only the distinct ones).

The product of its digits is 466560000, while the sum is 64.

The spelling of 82563533536528 in words is "eighty-two trillion, five hundred sixty-three billion, five hundred thirty-three million, five hundred thirty-six thousand, five hundred twenty-eight".