813660330528 has 288 divisors, whose sum is σ = 2526105267504. Its totient is φ = 247386341376.

The previous prime is 813660330521. The next prime is 813660330551. The reversal of 813660330528 is 825033066318.

813660330528 is a `hidden beast` number, since 8 + 1 + 3 + 6 + 603 + 30 + 5 + 2 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 729404818704 + 84255511824 = 854052^2 + 290268^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (813660330521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46547326 + ... + 46564802.

Almost surely, 2^813660330528 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 813660330528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263052633752).

813660330528 is an abundant number, since it is smaller than the sum of its proper divisors (1712444936976).

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

813660330528 is a wasteful number, since it uses less digits than its factorization.

813660330528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17804 (or 17793 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 813660330528 in words is "eight hundred thirteen billion, six hundred sixty million, three hundred thirty thousand, five hundred twenty-eight".