3009009003 has 128 divisors (see below), whose sum is σ = 5574912000. Its totient is φ = 1442881440.

The previous prime is 3009008987. The next prime is 3009009011.

3009009003 is nontrivially palindromic in base 10.

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=1001.

It is not a de Polignac number, because 3009009003 - 2⁴ = 3009008987 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3009009013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 231462225 + ... + 231462237.

It is an arithmetic number, because the mean of its divisors is an integer number (43554000).

Almost surely, 2^3009009003 is an apocalyptic number.

3009009003 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3009009003 is a deficient number, since it is larger than the sum of its proper divisors (2565902997).

3009009003 is an frugal number, since it uses more digits than its factorization.

3009009003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 24.

The square root of 3009009003 is about 54854.4346703163. The cubic root of 3009009003 is about 1443.6918198777.

It can be divided in two parts, 300900 and 9003, that added together give a palindrome (309903).

The spelling of 3009009003 in words is "three billion, nine million, nine thousand, three".