825405233 has 8 divisors (see below), whose sum is σ = 885931848. Its totient is φ = 766209024.

The previous prime is 825405187. The next prime is 825405247. The reversal of 825405233 is 332504528.

825405233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 267878689 + 557526544 = 16367^2 + 23612^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 825405233 - 2¹⁴ = 825388849 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 825405233.

It is not an unprimeable number, because it can be changed into a prime (825405263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 331316 + ... + 333797.

It is an arithmetic number, because the mean of its divisors is an integer number (110741481).

Almost surely, 2^825405233 is an apocalyptic number.

It is an amenable number.

825405233 is a deficient number, since it is larger than the sum of its proper divisors (60526615).

825405233 is a wasteful number, since it uses less digits than its factorization.

825405233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665203.

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 825405233 is about 28729.8665677375. The cubic root of 825405233 is about 938.0422635428.

The spelling of 825405233 in words is "eight hundred twenty-five million, four hundred five thousand, two hundred thirty-three".