801017255567 has 16 divisors (see below), whose sum is σ = 831312979200. Its totient is φ = 771255139200.

The previous prime is 801017255561. The next prime is 801017255639. The reversal of 801017255567 is 765552710108.

It is a cyclic number.

It is not a de Polignac number, because 801017255567 - 2⁴ = 801017255551 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801017255561) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 26542967 + ... + 26573127.

It is an arithmetic number, because the mean of its divisors is an integer number (51957061200).

Almost surely, 2^801017255567 is an apocalyptic number.

801017255567 is a deficient number, since it is larger than the sum of its proper divisors (30295723633).

801017255567 is a wasteful number, since it uses less digits than its factorization.

801017255567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38974.

The product of its (nonzero) digits is 588000, while the sum is 47.

The spelling of 801017255567 in words is "eight hundred one billion, seventeen million, two hundred fifty-five thousand, five hundred sixty-seven".