2805505253003 has 16 divisors (see below), whose sum is σ = 2969011293696. Its totient is φ = 2645467366080.

The previous prime is 2805505252993. The next prime is 2805505253077. The reversal of 2805505253003 is 3003525055082.

It is a happy number.

2805505253003 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 2805505253003 - 2⁶ = 2805505252939 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2805505259003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17430551 + ... + 17590767.

It is an arithmetic number, because the mean of its divisors is an integer number (185563205856).

Almost surely, 2^{2805505253003} is an apocalyptic number.

2805505253003 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

2805505253003 is a deficient number, since it is larger than the sum of its proper divisors (163506040693).

2805505253003 is a wasteful number, since it uses less digits than its factorization.

2805505253003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171034.

The product of its (nonzero) digits is 180000, while the sum is 38.

The spelling of 2805505253003 in words is "two trillion, eight hundred five billion, five hundred five million, two hundred fifty-three thousand, three".