9000856981 has 2 divisors, whose sum is σ = 9000856982. Its totient is φ = 9000856980.

The previous prime is 9000856979. The next prime is 9000856987. The reversal of 9000856981 is 1896580009.

9000856981 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4954752100 + 4046104881 = 70390^2 + 63609^2 .

It is a cyclic number.

It is not a de Polignac number, because 9000856981 - 2¹ = 9000856979 is a prime.

It is a super-2 number, since 2×9000856981² (a number of 21 digits) contains 22 as substring.

Together with 9000856979, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9000856987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4500428490 + 4500428491.

It is an arithmetic number, because the mean of its divisors is an integer number (4500428491).

Almost surely, 2^9000856981 is an apocalyptic number.

It is an amenable number.

9000856981 is a deficient number, since it is larger than the sum of its proper divisors (1).

9000856981 is an equidigital number, since it uses as much as digits as its factorization.

9000856981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 155520, while the sum is 46.

The square root of 9000856981 is about 94872.8463839891. The cubic root of 9000856981 is about 2080.1498428941.

The spelling of 9000856981 in words is "nine billion, eight hundred fifty-six thousand, nine hundred eighty-one".