829809824931 has 24 divisors (see below), whose sum is σ = 1273946525280. Its totient is φ = 518685248256.

The previous prime is 829809824849. The next prime is 829809824957. The reversal of 829809824931 is 139428908928.

It is a happy number.

It is not a de Polignac number, because 829809824931 - 2¹⁴ = 829809808547 is a prime.

It is a super-2 number, since 2×829809824931² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (829809824231) 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, 10270776 + ... + 10351253.

It is an arithmetic number, because the mean of its divisors is an integer number (53081105220).

Almost surely, 2^829809824931 is an apocalyptic number.

829809824931 is a deficient number, since it is larger than the sum of its proper divisors (444136700349).

829809824931 is a wasteful number, since it uses less digits than its factorization.

829809824931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20622315 (or 20622312 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 829809824931 in words is "eight hundred twenty-nine billion, eight hundred nine million, eight hundred twenty-four thousand, nine hundred thirty-one".