8001385581 has 8 divisors (see below), whose sum is σ = 12192587584. Its totient is φ = 4572220320.

The previous prime is 8001385577. The next prime is 8001385589. The reversal of 8001385581 is 1855831008.

8001385581 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 8001385581 - 2² = 8001385577 is a prime.

It is a super-2 number, since 2×8001385581² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8001385589) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190509160 + ... + 190509201.

It is an arithmetic number, because the mean of its divisors is an integer number (1524073448).

Almost surely, 2^8001385581 is an apocalyptic number.

It is an amenable number.

8001385581 is a deficient number, since it is larger than the sum of its proper divisors (4191202003).

8001385581 is a wasteful number, since it uses less digits than its factorization.

8001385581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381018371.

The product of its (nonzero) digits is 38400, while the sum is 39.

The square root of 8001385581 is about 89450.4643979001. The cubic root of 8001385581 is about 2000.1154584179.

The spelling of 8001385581 in words is "eight billion, one million, three hundred eighty-five thousand, five hundred eighty-one".