825606528 has 64 divisors (see below), whose sum is σ = 2288390400. Its totient is φ = 263234048.

The previous prime is 825606521. The next prime is 825606541.

825606528 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×825606528² = 1363252278152429568, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 825606528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825606521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37908 + ... + 55571.

It is an arithmetic number, because the mean of its divisors is an integer number (35756100).

Almost surely, 2^825606528 is an apocalyptic number.

It is an amenable number.

825606528 is an abundant number, since it is smaller than the sum of its proper divisors (1462783872).

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

825606528 is a wasteful number, since it uses less digits than its factorization.

825606528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93519 (or 93507 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 825606528 is about 28733.3695900777. The cubic root of 825606528 is about 938.1185120981.

The spelling of 825606528 in words is "eight hundred twenty-five million, six hundred six thousand, five hundred twenty-eight".