815323201 has 48 divisors (see below), whose sum is σ = 1064938752. Its totient is φ = 617047200.

The previous prime is 815323151. The next prime is 815323259. The reversal of 815323201 is 102323518.

It is not a de Polignac number, because 815323201 - 2⁷ = 815323073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (815323291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3863986 + ... + 3864196.

It is an arithmetic number, because the mean of its divisors is an integer number (22186224).

Almost surely, 2^815323201 is an apocalyptic number.

It is an amenable number.

815323201 is a deficient number, since it is larger than the sum of its proper divisors (249615551).

815323201 is a wasteful number, since it uses less digits than its factorization.

815323201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 815323201 is about 28553.8649047725. The cubic root of 815323201 is about 934.2073222989.

Adding to 815323201 its reverse (102323518), we get a palindrome (917646719).

The spelling of 815323201 in words is "eight hundred fifteen million, three hundred twenty-three thousand, two hundred one".