82581549256863 has 96 divisors (see below), whose sum is σ = 127196503200000. Its totient is φ = 51530387521536.

The previous prime is 82581549256849. The next prime is 82581549256867. The reversal of 82581549256863 is 36865294518528.

82581549256863 is a `hidden beast` number, since 8 + 2 + 5 + 8 + 1 + 5 + 492 + 56 + 86 + 3 = 666.

It is not a de Polignac number, because 82581549256863 - 2²⁶ = 82581482147999 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82581549256791 and 82581549256800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82581549256867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3117565723 + ... + 3117592211.

It is an arithmetic number, because the mean of its divisors is an integer number (1324963575000).

Almost surely, 2^{82581549256863} is an apocalyptic number.

82581549256863 is a deficient number, since it is larger than the sum of its proper divisors (44614953943137).

82581549256863 is a wasteful number, since it uses less digits than its factorization.

82581549256863 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27729 (or 27726 counting only the distinct ones).

The product of its digits is 995328000, while the sum is 72.

The spelling of 82581549256863 in words is "eighty-two trillion, five hundred eighty-one billion, five hundred forty-nine million, two hundred fifty-six thousand, eight hundred sixty-three".