2005005053003 has 4 divisors (see below), whose sum is σ = 2110531634760. Its totient is φ = 1899478471248.

The previous prime is 2005005052993. The next prime is 2005005053017. The reversal of 2005005053003 is 3003505005002.

It is a happy number.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2005005053003 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 2005005053003.

It is not an unprimeable number, because it can be changed into a prime (2005005053063) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52763290850 + ... + 52763290887.

It is an arithmetic number, because the mean of its divisors is an integer number (527632908690).

Almost surely, 2^{2005005053003} is an apocalyptic number.

2005005053003 is a deficient number, since it is larger than the sum of its proper divisors (105526581757).

2005005053003 is a wasteful number, since it uses less digits than its factorization.

2005005053003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105526581756.

The product of its (nonzero) digits is 2250, while the sum is 23.

The spelling of 2005005053003 in words is "two trillion, five billion, five million, fifty-three thousand, three".