82256353209 has 12 divisors (see below), whose sum is σ = 123980590656. Its totient is φ = 52453326552.

The previous prime is 82256353189. The next prime is 82256353237. The reversal of 82256353209 is 90235365228.

82256353209 is a `hidden beast` number, since 8 + 2 + 2 + 5 + 635 + 3 + 2 + 0 + 9 = 666.

It is not a de Polignac number, because 82256353209 - 2⁹ = 82256352697 is a prime.

It is a super-2 number, since 2×82256353209² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82256352209) 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, 198686637 + ... + 198687050.

It is an arithmetic number, because the mean of its divisors is an integer number (10331715888).

Almost surely, 2^82256353209 is an apocalyptic number.

It is an amenable number.

82256353209 is a deficient number, since it is larger than the sum of its proper divisors (41724237447).

82256353209 is a wasteful number, since it uses less digits than its factorization.

82256353209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397373716 (or 397373713 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 82256353209 in words is "eighty-two billion, two hundred fifty-six million, three hundred fifty-three thousand, two hundred nine".