900000000000001 has 4 divisors (see below), whose sum is σ = 900820419326532. Its totient is φ = 899179580673472.

The previous prime is 899999999999983. The next prime is 900000000000019. The reversal of 900000000000001 is 100000000000009.

It is a happy number.

It is a Cunningham number, because it is equal to 30000000²+1.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (899999999999983) and next prime (900000000000019).

It can be written as a sum of positive squares in 2 ways, for example, as 255941635326976 + 644058364673025 = 15998176^2 + 25378305^2 .

It is a cyclic number.

It is not a de Polignac number, because 900000000000001 - 2⁷ = 899999999999873 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 900000000000001.

It is not an unprimeable number, because it can be changed into a prime (900000000006001) 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 in 3 ways as a sum of consecutive naturals, for example, 410209661620 + ... + 410209663813.

It is an arithmetic number, because the mean of its divisors is an integer number (225205104831633).

Almost surely, 2^{900000000000001} is an apocalyptic number.

It is an amenable number.

900000000000001 is a deficient number, since it is larger than the sum of its proper divisors (820419326531).

900000000000001 is a wasteful number, since it uses less digits than its factorization.

900000000000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820419326530.

The product of its (nonzero) digits is 9, while the sum is 10.

The spelling of 900000000000001 in words is "nine hundred trillion, one", and thus it is an aban number.