9008180681 has 2 divisors, whose sum is σ = 9008180682. Its totient is φ = 9008180680.

The previous prime is 9008180653. The next prime is 9008180683. The reversal of 9008180681 is 1860818009.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9007718281 + 462400 = 94909^2 + 680^2 .

It is a cyclic number.

It is not a de Polignac number, because 9008180681 - 2²² = 9003986377 is a prime.

It is a super-2 number, since 2×9008180681² (a number of 21 digits) contains 22 as substring.

Together with 9008180683, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (9008180683) 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 as a sum of consecutive naturals, namely, 4504090340 + 4504090341.

It is an arithmetic number, because the mean of its divisors is an integer number (4504090341).

Almost surely, 2^9008180681 is an apocalyptic number.

It is an amenable number.

9008180681 is a deficient number, since it is larger than the sum of its proper divisors (1).

9008180681 is an equidigital number, since it uses as much as digits as its factorization.

9008180681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 41.

The square root of 9008180681 is about 94911.4359863973. The cubic root of 9008180681 is about 2080.7138730153.

The spelling of 9008180681 in words is "nine billion, eight million, one hundred eighty thousand, six hundred eighty-one".