810005056 has 56 divisors (see below), whose sum is σ = 1840138560. Its totient is φ = 346547712.

The previous prime is 810005033. The next prime is 810005059. The reversal of 810005056 is 650500018.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×810005056² = 1312216381491126272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 810005056.

It is not an unprimeable number, because it can be changed into a prime (810005059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 345135 + ... + 347473.

Almost surely, 2^810005056 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 810005056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920069280).

810005056 is an abundant number, since it is smaller than the sum of its proper divisors (1030133504).

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

810005056 is a wasteful number, since it uses less digits than its factorization.

810005056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131 (or 3121 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 810005056 is about 28460.5877662426. The cubic root of 810005056 is about 932.1716913090.

The spelling of 810005056 in words is "eight hundred ten million, five thousand, fifty-six".