3000001000003 has 24 divisors (see below), whose sum is σ = 3665842217568. Its totient is φ = 2396671080192.

The previous prime is 3000000999943. The next prime is 3000001000013.

It is a happy number.

3000001000003 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3000001000003 - 2³³ = 2991411065411 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a self number, because there is not a number n which added to its sum of digits gives 3000001000003.

It is not an unprimeable number, because it can be changed into a prime (3000001000013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74325 + ... + 2450617.

It is an arithmetic number, because the mean of its divisors is an integer number (152743425732).

Almost surely, 2^{3000001000003} is an apocalyptic number.

3000001000003 is a deficient number, since it is larger than the sum of its proper divisors (665841217565).

3000001000003 is a wasteful number, since it uses less digits than its factorization.

3000001000003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2376523 (or 2376420 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 7.

The spelling of 3000001000003 in words is "three trillion, one million, three", and thus it is an aban number and an uban number.