825408991 has 16 divisors (see below), whose sum is σ = 932659200. Its totient is φ = 723592800.

The previous prime is 825408967. The next prime is 825409003. The reversal of 825408991 is 199804528.

It is a cyclic number.

It is not a de Polignac number, because 825408991 - 2⁷ = 825408863 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825408911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 468370 + ... + 470128.

It is an arithmetic number, because the mean of its divisors is an integer number (58291200).

Almost surely, 2^825408991 is an apocalyptic number.

825408991 is a deficient number, since it is larger than the sum of its proper divisors (107250209).

825408991 is a wasteful number, since it uses less digits than its factorization.

825408991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3270.

The product of its (nonzero) digits is 207360, while the sum is 46.

The square root of 825408991 is about 28729.9319699856. The cubic root of 825408991 is about 938.0436871495.

The spelling of 825408991 in words is "eight hundred twenty-five million, four hundred eight thousand, nine hundred ninety-one".