813523042332 has 864 divisors, whose sum is σ = 2973968524800. Its totient is φ = 183805977600.

The previous prime is 813523042327. The next prime is 813523042363. The reversal of 813523042332 is 233240325318.

813523042332 is a `hidden beast` number, since 8 + 13 + 5 + 2 + 304 + 2 + 332 = 666.

It is a super-2 number, since 2×813523042332² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1289259657 + ... + 1289260287.

It is an arithmetic number, because the mean of its divisors is an integer number (3442093200).

Almost surely, 2^813523042332 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 813523042332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486984262400).

813523042332 is an abundant number, since it is smaller than the sum of its proper divisors (2160445482468).

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

813523042332 is a wasteful number, since it uses less digits than its factorization.

813523042332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 813523042332 in words is "eight hundred thirteen billion, five hundred twenty-three million, forty-two thousand, three hundred thirty-two".