82541022573681 has 81 divisors (see below), whose sum is σ = 140296079049633. Its totient is φ = 46626746221440.

The previous prime is 82541022573643. The next prime is 82541022573701. The reversal of 82541022573681 is 18637522014528.

It is a happy number.

The square root of 82541022573681 is 9085209.

It is a perfect power (a square), and thus also a powerful number.

82541022573681 is a `hidden beast` number, since 8 + 2 + 5 + 4 + 1 + 0 + 2 + 2 + 573 + 68 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2246878083681 + 80294144490000 = 1498959^2 + 8960700^2 .

It is not a de Polignac number, because 82541022573681 - 2³⁷ = 82403583620209 is a prime.

It is a super-2 number, since 2×82541022573681² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82541022573641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16980253191 + ... + 16980258051.

Almost surely, 2^{82541022573681} is an apocalyptic number.

82541022573681 is the 9085209-th square number.

82541022573681 is the 4542605-th centered octagonal number.

It is an amenable number.

82541022573681 is a deficient number, since it is larger than the sum of its proper divisors (57755056475952).

82541022573681 is an frugal number, since it uses more digits than its factorization.

82541022573681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9920 (or 4960 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 82541022573681 in words is "eighty-two trillion, five hundred forty-one billion, twenty-two million, five hundred seventy-three thousand, six hundred eighty-one".