2005055313023 has 16 divisors (see below), whose sum is σ = 2301955808256. Its totient is φ = 1710785711040.

The previous prime is 2005055312999. The next prime is 2005055313029. The reversal of 2005055313023 is 3203135505002.

It is not a de Polignac number, because 2005055313023 - 2⁶ = 2005055312959 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005055313029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 997715 + ... + 2237307.

It is an arithmetic number, because the mean of its divisors is an integer number (143872238016).

Almost surely, 2^{2005055313023} is an apocalyptic number.

2005055313023 is a deficient number, since it is larger than the sum of its proper divisors (296900495233).

2005055313023 is a wasteful number, since it uses less digits than its factorization.

2005055313023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240654.

The product of its (nonzero) digits is 13500, while the sum is 29.

The spelling of 2005055313023 in words is "two trillion, five billion, fifty-five million, three hundred thirteen thousand, twenty-three".