82563772131 has 12 divisors (see below), whose sum is σ = 119282934160. Its totient is φ = 55031367600.

The previous prime is 82563772117. The next prime is 82563772139. The reversal of 82563772131 is 13127736528.

82563772131 is a `hidden beast` number, since 8 + 2 + 5 + 637 + 7 + 2 + 1 + 3 + 1 = 666.

It is not a de Polignac number, because 82563772131 - 2²⁹ = 82026901219 is a prime.

It is a super-2 number, since 2×82563772131² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82563772139) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 881896 + ... + 971013.

Almost surely, 2^82563772131 is an apocalyptic number.

82563772131 is a deficient number, since it is larger than the sum of its proper divisors (36719162029).

82563772131 is a wasteful number, since it uses less digits than its factorization.

82563772131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857866 (or 1857863 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The spelling of 82563772131 in words is "eighty-two billion, five hundred sixty-three million, seven hundred seventy-two thousand, one hundred thirty-one".