825753604 has 72 divisors (see below), whose sum is σ = 1660176000. Its totient is φ = 358210944.

The previous prime is 825753601. The next prime is 825753641. The reversal of 825753604 is 406357528.

It is not an unprimeable number, because it can be changed into a prime (825753601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3069582 + ... + 3069850.

It is an arithmetic number, because the mean of its divisors is an integer number (23058000).

Almost surely, 2^825753604 is an apocalyptic number.

It is an amenable number.

825753604 is an abundant number, since it is smaller than the sum of its proper divisors (834422396).

825753604 is a wasteful number, since it uses less digits than its factorization.

825753604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The square root of 825753604 is about 28735.9288000232. The cubic root of 825753604 is about 938.1742151969.

The spelling of 825753604 in words is "eight hundred twenty-five million, seven hundred fifty-three thousand, six hundred four".