813503682 has 128 divisors (see below), whose sum is σ = 1934899200. Its totient is φ = 253015488.

The previous prime is 813503681. The next prime is 813503687. The reversal of 813503682 is 286305318.

It is not an unprimeable number, because it can be changed into a prime (813503681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7898043 + ... + 7898145.

It is an arithmetic number, because the mean of its divisors is an integer number (15116400).

Almost surely, 2^813503682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813503682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967449600).

813503682 is an abundant number, since it is smaller than the sum of its proper divisors (1121395518).

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

813503682 is a wasteful number, since it uses less digits than its factorization.

813503682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 813503682 is about 28521.9859406739. The cubic root of 813503682 is about 933.5118623055.

The spelling of 813503682 in words is "eight hundred thirteen million, five hundred three thousand, six hundred eighty-two".