825685918101 has 12 divisors (see below), whose sum is σ = 1301080840800. Its totient is φ = 500415707880.

The previous prime is 825685918087. The next prime is 825685918139. The reversal of 825685918101 is 101819586528.

825685918101 is a `hidden beast` number, since 8 + 2 + 568 + 59 + 18 + 10 + 1 = 666.

It is not a de Polignac number, because 825685918101 - 2³⁹ = 275930104213 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825685918901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4170130801 + ... + 4170130998.

It is an arithmetic number, because the mean of its divisors is an integer number (108423403400).

Almost surely, 2^825685918101 is an apocalyptic number.

It is an amenable number.

825685918101 is a deficient number, since it is larger than the sum of its proper divisors (475394922699).

825685918101 is a wasteful number, since it uses less digits than its factorization.

825685918101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8340261816 (or 8340261813 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 54.

The spelling of 825685918101 in words is "eight hundred twenty-five billion, six hundred eighty-five million, nine hundred eighteen thousand, one hundred one".