82319718625 has 32 divisors (see below), whose sum is σ = 104992962048. Its totient is φ = 64410304000.

The previous prime is 82319718601. The next prime is 82319718629. The reversal of 82319718625 is 52681791328.

It is a happy number.

It is not a de Polignac number, because 82319718625 - 2²⁷ = 82185500897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82319718629) 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 31 ways as a sum of consecutive naturals, for example, 10494705 + ... + 10502545.

It is an arithmetic number, because the mean of its divisors is an integer number (3281030064).

Almost surely, 2^82319718625 is an apocalyptic number.

It is an amenable number.

82319718625 is a deficient number, since it is larger than the sum of its proper divisors (22673243423).

82319718625 is a wasteful number, since it uses less digits than its factorization.

82319718625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9690 (or 9680 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 52.

The spelling of 82319718625 in words is "eighty-two billion, three hundred nineteen million, seven hundred eighteen thousand, six hundred twenty-five".