825692027265 has 64 divisors (see below), whose sum is σ = 1677722142720. Its totient is φ = 377430943680.

The previous prime is 825692027243. The next prime is 825692027311. The reversal of 825692027265 is 562720296528.

825692027265 is a `hidden beast` number, since 8 + 2 + 569 + 2 + 0 + 2 + 72 + 6 + 5 = 666.

It is not a de Polignac number, because 825692027265 - 2¹⁶ = 825691961729 is a prime.

It is a Curzon number.

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 63 ways as a sum of consecutive naturals, for example, 17639622 + ... + 17686368.

It is an arithmetic number, because the mean of its divisors is an integer number (26214408480).

Almost surely, 2^825692027265 is an apocalyptic number.

It is an amenable number.

825692027265 is an abundant number, since it is smaller than the sum of its proper divisors (852030115455).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

825692027265 is a wasteful number, since it uses less digits than its factorization.

825692027265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65459 (or 65453 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 825692027265 in words is "eight hundred twenty-five billion, six hundred ninety-two million, twenty-seven thousand, two hundred sixty-five".