813755041056 has 144 divisors (see below), whose sum is σ = 2377990689984. Its totient is φ = 263772744192.

The previous prime is 813755041031. The next prime is 813755041061. The reversal of 813755041056 is 650140557318.

813755041056 is a `hidden beast` number, since 8 + 1 + 3 + 7 + 550 + 41 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19874301 + ... + 19915203.

It is an arithmetic number, because the mean of its divisors is an integer number (16513824236).

Almost surely, 2^813755041056 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 813755041056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188995344992).

813755041056 is an abundant number, since it is smaller than the sum of its proper divisors (1564235648928).

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

813755041056 is a wasteful number, since it uses less digits than its factorization.

813755041056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42823 (or 42812 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 813755041056 in words is "eight hundred thirteen billion, seven hundred fifty-five million, forty-one thousand, fifty-six".