813109862500 has 144 divisors (see below), whose sum is σ = 1932370476624. Its totient is φ = 297561600000.

The previous prime is 813109862489. The next prime is 813109862533. The reversal of 813109862500 is 5268901318.

813109862500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 216962187264 + 596147675236 = 465792^2 + 772106^2 .

It is a super-2 number, since 2×813109862500² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18340360 + ... + 18384640.

It is an arithmetic number, because the mean of its divisors is an integer number (13419239421).

Almost surely, 2^813109862500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813109862500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966185238312).

813109862500 is an abundant number, since it is smaller than the sum of its proper divisors (1119260614124).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

813109862500 is a wasteful number, since it uses less digits than its factorization.

813109862500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44436 (or 44414 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The spelling of 813109862500 in words is "eight hundred thirteen billion, one hundred nine million, eight hundred sixty-two thousand, five hundred".