825291907 has 16 divisors (see below), whose sum is σ = 920839680. Its totient is φ = 733356000.

The previous prime is 825291893. The next prime is 825291931. The reversal of 825291907 is 709192528.

It is a cyclic number.

It is not a de Polignac number, because 825291907 - 2²³ = 816903299 is a prime.

It is a super-2 number, since 2×825291907² = 1362213463519393298, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (825292907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83068 + ... + 92470.

It is an arithmetic number, because the mean of its divisors is an integer number (57552480).

Almost surely, 2^825291907 is an apocalyptic number.

825291907 is a deficient number, since it is larger than the sum of its proper divisors (95547773).

825291907 is a wasteful number, since it uses less digits than its factorization.

825291907 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9594.

The product of its (nonzero) digits is 90720, while the sum is 43.

The square root of 825291907 is about 28727.8942319133. The cubic root of 825291907 is about 937.9993313204. Note that the first 3 decimals are identical.

The spelling of 825291907 in words is "eight hundred twenty-five million, two hundred ninety-one thousand, nine hundred seven".