825526009 has 24 divisors (see below), whose sum is σ = 1039996160. Its totient is φ = 641424960.

The previous prime is 825525991. The next prime is 825526019. The reversal of 825526009 is 900625528.

It is a happy number.

825526009 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 825526009 - 2⁷ = 825525881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (825526019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345232 + ... + 347614.

Almost surely, 2^825526009 is an apocalyptic number.

It is an amenable number.

825526009 is a deficient number, since it is larger than the sum of its proper divisors (214470151).

825526009 is a wasteful number, since it uses less digits than its factorization.

825526009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2821 (or 2810 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 825526009 is about 28731.9684149903. The cubic root of 825526009 is about 938.0880137846.

The spelling of 825526009 in words is "eight hundred twenty-five million, five hundred twenty-six thousand, nine".