813520512 has 192 divisors, whose sum is σ = 2711404800. Its totient is φ = 229312512.

The previous prime is 813520501. The next prime is 813520529. The reversal of 813520512 is 215025318.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 636418 + ... + 637694.

It is an arithmetic number, because the mean of its divisors is an integer number (14121900).

Almost surely, 2^813520512 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 813520512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355702400).

813520512 is an abundant number, since it is smaller than the sum of its proper divisors (1897884288).

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

813520512 is a wasteful number, since it uses less digits than its factorization.

813520512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 813520512 is about 28522.2809747047. The cubic root of 813520512 is about 933.5182998491.

The spelling of 813520512 in words is "eight hundred thirteen million, five hundred twenty thousand, five hundred twelve".