813504385 has 16 divisors (see below), whose sum is σ = 1005510096. Its totient is φ = 631369728.

The previous prime is 813504359. The next prime is 813504397. The reversal of 813504385 is 583405318.

It can be written as a sum of positive squares in 8 ways, for example, as 64496961 + 749007424 = 8031^2 + 27368^2 .

It is a cyclic number.

It is not a de Polignac number, because 813504385 - 2²⁹ = 276633473 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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59077 + ... + 71533.

It is an arithmetic number, because the mean of its divisors is an integer number (62844381).

Almost surely, 2^813504385 is an apocalyptic number.

It is an amenable number.

813504385 is a deficient number, since it is larger than the sum of its proper divisors (192005711).

813504385 is a wasteful number, since it uses less digits than its factorization.

813504385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12852.

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 813504385 is about 28521.9982644975. The cubic root of 813504385 is about 933.5121312077.

The spelling of 813504385 in words is "eight hundred thirteen million, five hundred four thousand, three hundred eighty-five".