825432561 has 48 divisors (see below), whose sum is σ = 1278763200. Its totient is φ = 511588224.

The previous prime is 825432521. The next prime is 825432607. The reversal of 825432561 is 165234528.

825432561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 825432561 - 2¹⁸ = 825170417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (825432521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3604395 + ... + 3604623.

It is an arithmetic number, because the mean of its divisors is an integer number (26640900).

Almost surely, 2^825432561 is an apocalyptic number.

It is an amenable number.

825432561 is a deficient number, since it is larger than the sum of its proper divisors (453330639).

825432561 is a wasteful number, since it uses less digits than its factorization.

825432561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 555 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 825432561 is about 28730.3421664275. The cubic root of 825432561 is about 938.0526158461.

The spelling of 825432561 in words is "eight hundred twenty-five million, four hundred thirty-two thousand, five hundred sixty-one".