801008890081 has 9 divisors (see below), whose sum is σ = 811348206291. Its totient is φ = 790799727744.

The previous prime is 801008890079. The next prime is 801008890111. The reversal of 801008890081 is 180098800108.

The square root of 801008890081 is 894991.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 281917459681 + 519091430400 = 530959^2 + 720480^2 .

It is not a de Polignac number, because 801008890081 - 2¹ = 801008890079 is a prime.

It is a super-2 number, since 2×801008890081² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (801008890481) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 70698625 + ... + 70709953.

It is an arithmetic number, because the mean of its divisors is an integer number (90149800699).

Almost surely, 2^801008890081 is an apocalyptic number.

801008890081 is the 894991-st square number.

801008890081 is the 447496-th centered octagonal number.

It is an amenable number.

801008890081 is a deficient number, since it is larger than the sum of its proper divisors (10339316210).

801008890081 is an frugal number, since it uses more digits than its factorization.

801008890081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22816 (or 11408 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 43.

The spelling of 801008890081 in words is "eight hundred one billion, eight million, eight hundred ninety thousand, eighty-one".