825023007 has 12 divisors (see below), whose sum is σ = 1217055840. Its totient is φ = 538312608.

The previous prime is 825022999. The next prime is 825023027. The reversal of 825023007 is 700320528.

It is not a de Polignac number, because 825023007 - 2³ = 825022999 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825023027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 974782 + ... + 975627.

It is an arithmetic number, because the mean of its divisors is an integer number (101421320).

Almost surely, 2^825023007 is an apocalyptic number.

825023007 is a deficient number, since it is larger than the sum of its proper divisors (392032833).

825023007 is a wasteful number, since it uses less digits than its factorization.

825023007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950462 (or 1950459 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 825023007 is about 28723.2137303610. The cubic root of 825023007 is about 937.8974459887.

The spelling of 825023007 in words is "eight hundred twenty-five million, twenty-three thousand, seven".