813634668289 has 3 divisors (see below), whose sum is σ = 813635570307. Its totient is φ = 813633766272.

The previous prime is 813634668271. The next prime is 813634668323. The reversal of 813634668289 is 982866436318.

The square root of 813634668289 is 902017.

It is a perfect power (a square), and thus also a powerful number.

813634668289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 722797530625 + 90837137664 = 850175^2 + 301392^2 .

It is not a de Polignac number, because 813634668289 - 2⁹ = 813634667777 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 813634668289.

It is not an unprimeable number, because it can be changed into a prime (813634668239) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 451009 + ... + 1353025.

It is an arithmetic number, because the mean of its divisors is an integer number (271211856769).

Almost surely, 2^813634668289 is an apocalyptic number.

813634668289 is the 902017-th square number.

813634668289 is the 451009-th centered octagonal number.

It is an amenable number.

813634668289 is a deficient number, since it is larger than the sum of its proper divisors (902018).

813634668289 is an frugal number, since it uses more digits than its factorization.

813634668289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804034 (or 902017 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 64.

Multiplying 813634668289 by its sum of digits (64), we get a square (52072618770496 = 7216136²).

The spelling of 813634668289 in words is "eight hundred thirteen billion, six hundred thirty-four million, six hundred sixty-eight thousand, two hundred eighty-nine".