82085438825 has 24 divisors (see below), whose sum is σ = 116063618328. Its totient is φ = 57051233280.

The previous prime is 82085438821. The next prime is 82085438837. The reversal of 82085438825 is 52883458028.

It can be written as a sum of positive squares in 12 ways, for example, as 18403906921 + 63681531904 = 135661^2 + 252352^2 .

It is not a de Polignac number, because 82085438825 - 2² = 82085438821 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82085438821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7423022 + ... + 7434071.

It is an arithmetic number, because the mean of its divisors is an integer number (4835984097).

Almost surely, 2^82085438825 is an apocalyptic number.

82085438825 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

82085438825 is a deficient number, since it is larger than the sum of its proper divisors (33978179503).

82085438825 is a wasteful number, since it uses less digits than its factorization.

82085438825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14857133 (or 14857128 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 53.

The spelling of 82085438825 in words is "eighty-two billion, eighty-five million, four hundred thirty-eight thousand, eight hundred twenty-five".