813888001 has 16 divisors (see below), whose sum is σ = 848707200. Its totient is φ = 779822208.

The previous prime is 813887969. The next prime is 813888011. The reversal of 813888001 is 100888318.

It is a cyclic number.

It is not a de Polignac number, because 813888001 - 2⁵ = 813887969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (813888011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1445346 + ... + 1445908.

It is an arithmetic number, because the mean of its divisors is an integer number (53044200).

Almost surely, 2^813888001 is an apocalyptic number.

It is an amenable number.

813888001 is a deficient number, since it is larger than the sum of its proper divisors (34819199).

813888001 is a wasteful number, since it uses less digits than its factorization.

813888001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128.

The product of its (nonzero) digits is 12288, while the sum is 37.

The square root of 813888001 is about 28528.7223863951. The cubic root of 813888001 is about 933.6588437602.

The spelling of 813888001 in words is "eight hundred thirteen million, eight hundred eighty-eight thousand, one".