813285582318 has 128 divisors (see below), whose sum is σ = 2035499950080. Its totient is φ = 238532688000.

The previous prime is 813285582301. The next prime is 813285582337.

813285582318 is a `hidden beast` number, since 8 + 1 + 3 + 28 + 5 + 582 + 31 + 8 = 666.

813285582318 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×813285582318² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4100928 + ... + 4294668.

It is an arithmetic number, because the mean of its divisors is an integer number (15902343360).

Almost surely, 2^813285582318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813285582318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017749975040).

813285582318 is an abundant number, since it is smaller than the sum of its proper divisors (1222214367762).

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

813285582318 is a wasteful number, since it uses less digits than its factorization.

813285582318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193991 (or 193985 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 54.

The spelling of 813285582318 in words is "eight hundred thirteen billion, two hundred eighty-five million, five hundred eighty-two thousand, three hundred eighteen".