8009011115081 has 2 divisors, whose sum is σ = 8009011115082. Its totient is φ = 8009011115080.

The previous prime is 8009011115069. The next prime is 8009011115093. The reversal of 8009011115081 is 1805111109008.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (8009011115069) and next prime (8009011115093).

It can be written as a sum of positive squares in only one way, i.e., 6166704391225 + 1842306723856 = 2483285^2 + 1357316^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8009011115081 is a prime.

It is a super-3 number, since 3×8009011115081³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (8009011115051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4004505557540 + 4004505557541.

It is an arithmetic number, because the mean of its divisors is an integer number (4004505557541).

Almost surely, 2^{8009011115081} is an apocalyptic number.

It is an amenable number.

8009011115081 is a deficient number, since it is larger than the sum of its proper divisors (1).

8009011115081 is an equidigital number, since it uses as much as digits as its factorization.

8009011115081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2880, while the sum is 35.

The spelling of 8009011115081 in words is "eight trillion, nine billion, eleven million, one hundred fifteen thousand, eighty-one".