815481601 has 8 divisors (see below), whose sum is σ = 891165024. Its totient is φ = 740056320.

The previous prime is 815481559. The next prime is 815481607. The reversal of 815481601 is 106184518.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 815481601 - 2²⁵ = 781927169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (815481607) 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 7 ways as a sum of consecutive naturals, for example, 57895 + ... + 70588.

It is an arithmetic number, because the mean of its divisors is an integer number (111395628).

Almost surely, 2^815481601 is an apocalyptic number.

It is an amenable number.

815481601 is a deficient number, since it is larger than the sum of its proper divisors (75683423).

815481601 is a wasteful number, since it uses less digits than its factorization.

815481601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129071.

The product of its (nonzero) digits is 7680, while the sum is 34.

The square root of 815481601 is about 28556.6384751427. The cubic root of 815481601 is about 934.2678172689.

The spelling of 815481601 in words is "eight hundred fifteen million, four hundred eighty-one thousand, six hundred one".