829165425725 has 48 divisors (see below), whose sum is σ = 1267082234880. Its totient is φ = 524150784000.

The previous prime is 829165425713. The next prime is 829165425791. The reversal of 829165425725 is 527524561928.

It is not a de Polignac number, because 829165425725 - 2²⁸ = 828896990269 is a prime.

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 1512500 + ... + 1986450.

It is an arithmetic number, because the mean of its divisors is an integer number (26397546560).

Almost surely, 2^829165425725 is an apocalyptic number.

It is an amenable number.

829165425725 is a deficient number, since it is larger than the sum of its proper divisors (437916809155).

829165425725 is a wasteful number, since it uses less digits than its factorization.

829165425725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474750 (or 474745 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 56.

The spelling of 829165425725 in words is "eight hundred twenty-nine billion, one hundred sixty-five million, four hundred twenty-five thousand, seven hundred twenty-five".