9000003000001 has 8 divisors (see below), whose sum is σ = 9697728673640. Its totient is φ = 8303051290752.

The previous prime is 9000002999971. The next prime is 9000003000029. The reversal of 9000003000001 is 1000003000009.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1337758258225 + 7662244741776 = 1156615^2 + 2768076^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9000003000001 - 2¹⁷ = 9000002868929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is the 3000001-st Hogben number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9000003000031) by changing a digit.

It is a nontrivial repunit in base 3000000.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193466940 + ... + 193513453.

It is an arithmetic number, because the mean of its divisors is an integer number (1212216084205).

Almost surely, 2^{9000003000001} is an apocalyptic number.

It is an amenable number.

9000003000001 is a deficient number, since it is larger than the sum of its proper divisors (697725673639).

9000003000001 is a wasteful number, since it uses less digits than its factorization.

9000003000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386982195.

The product of its (nonzero) digits is 27, while the sum is 13.

The spelling of 9000003000001 in words is "nine trillion, three million, one", and thus it is an aban number and an uban number.