82058006931 has 16 divisors (see below), whose sum is σ = 109740510720. Its totient is φ = 54540647840.

The previous prime is 82058006929. The next prime is 82058006983. The reversal of 82058006931 is 13960085028.

It is a cyclic number.

It is not a de Polignac number, because 82058006931 - 2¹ = 82058006929 is a prime.

It is a super-2 number, since 2×82058006931² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82058006831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1455046 + ... + 1510388.

It is an arithmetic number, because the mean of its divisors is an integer number (6858781920).

Almost surely, 2^82058006931 is an apocalyptic number.

82058006931 is a deficient number, since it is larger than the sum of its proper divisors (27682503789).

82058006931 is a wasteful number, since it uses less digits than its factorization.

82058006931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56826.

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 82058006931 in words is "eighty-two billion, fifty-eight million, six thousand, nine hundred thirty-one".