9000010001 has 8 divisors (see below), whose sum is σ = 9618484320. Its totient is φ = 8391431488.

The previous prime is 9000009989. The next prime is 9000010013. The reversal of 9000010001 is 1000100009.

It is an interprime number because it is at equal distance from previous prime (9000009989) and next prime (9000010013).

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 9000010001 - 2⁶ = 9000009937 is a prime.

It is a Duffinian number.

9000010001 is a modest number, since divided by 10001 gives 90 as remainder.

It is not an unprimeable number, because it can be changed into a prime (9000010021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2472071 + ... + 2475708.

It is an arithmetic number, because the mean of its divisors is an integer number (1202310540).

Almost surely, 2^9000010001 is an apocalyptic number.

It is an amenable number.

9000010001 is a deficient number, since it is larger than the sum of its proper divisors (618474319).

9000010001 is a wasteful number, since it uses less digits than its factorization.

9000010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4947903.

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 9000010001 is about 94868.3825149349. The cubic root of 9000010001 is about 2080.0845935301.

It can be divided in two parts, 90000 and 10001, that added together give a palindrome (100001).

The spelling of 9000010001 in words is "nine billion, ten thousand, one".