9000007001009 has 2 divisors, whose sum is σ = 9000007001010. Its totient is φ = 9000007001008.

The previous prime is 9000007000931. The next prime is 9000007001047. The reversal of 9000007001009 is 9001007000009.

9000007001009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5080953285409 + 3919053715600 = 2254097^2 + 1979660^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-9000007001009 is a prime.

It is a super-2 number, since 2×9000007001009² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (9000007000009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4500003500504 + 4500003500505.

It is an arithmetic number, because the mean of its divisors is an integer number (4500003500505).

Almost surely, 2^{9000007001009} is an apocalyptic number.

It is an amenable number.

9000007001009 is a deficient number, since it is larger than the sum of its proper divisors (1).

9000007001009 is an equidigital number, since it uses as much as digits as its factorization.

9000007001009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 567, while the sum is 26.

The spelling of 9000007001009 in words is "nine trillion, seven million, one thousand, nine".