82264593825 has 72 divisors (see below), whose sum is σ = 152187759360. Its totient is φ = 42434121600.

The previous prime is 82264593809. The next prime is 82264593847. The reversal of 82264593825 is 52839546228.

82264593825 is a `hidden beast` number, since 8 + 2 + 26 + 4 + 593 + 8 + 25 = 666.

It is not a de Polignac number, because 82264593825 - 2⁴ = 82264593809 is a prime.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 20497519 + ... + 20501531.

It is an arithmetic number, because the mean of its divisors is an integer number (2113718880).

Almost surely, 2^82264593825 is an apocalyptic number.

It is an amenable number.

82264593825 is a deficient number, since it is larger than the sum of its proper divisors (69923165535).

82264593825 is a wasteful number, since it uses less digits than its factorization.

82264593825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6999 (or 6991 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 82264593825 in words is "eighty-two billion, two hundred sixty-four million, five hundred ninety-three thousand, eight hundred twenty-five".