9009000001 has 2 divisors, whose sum is σ = 9009000002. Its totient is φ = 9009000000.

The previous prime is 9008999999. The next prime is 9009000023. The reversal of 9009000001 is 1000009009.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5248857601 + 3760142400 = 72449^2 + 61320^2 .

It is an emirp because it is prime and its reverse (1000009009) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9009000001 - 2¹ = 9008999999 is a prime.

Together with 9008999999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (9009000041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4504500000 + 4504500001.

It is an arithmetic number, because the mean of its divisors is an integer number (4504500001).

Almost surely, 2^9009000001 is an apocalyptic number.

It is an amenable number.

9009000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

9009000001 is an equidigital number, since it uses as much as digits as its factorization.

9009000001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 19.

The square root of 9009000001 is about 94915.7521226061. The cubic root of 9009000001 is about 2080.7769534111.

The spelling of 9009000001 in words is "nine billion, nine million, one", and thus it is an aban number and an uban number.