813362500 has 72 divisors (see below), whose sum is σ = 1837382400. Its totient is φ = 314700000.

The previous prime is 813362491. The next prime is 813362503. The reversal of 813362500 is 5263318.

813362500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (813362503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 386451 + ... + 388549.

It is an arithmetic number, because the mean of its divisors is an integer number (25519200).

Almost surely, 2^813362500 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 813362500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918691200).

813362500 is an abundant number, since it is smaller than the sum of its proper divisors (1024019900).

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

813362500 is a wasteful number, since it uses less digits than its factorization.

813362500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 813362500 is about 28519.5108653707. The cubic root of 813362500 is about 933.4578561182.

The spelling of 813362500 in words is "eight hundred thirteen million, three hundred sixty-two thousand, five hundred".