2005012033233 has 16 divisors (see below), whose sum is σ = 2922964413696. Its totient is φ = 1212415777040.

The previous prime is 2005012033201. The next prime is 2005012033289. The reversal of 2005012033233 is 3323302105002.

It is a cyclic number.

It is not a de Polignac number, because 2005012033233 - 2⁵ = 2005012033201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2005012038233) 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, 68560935 + ... + 68590172.

It is an arithmetic number, because the mean of its divisors is an integer number (182685275856).

Almost surely, 2^{2005012033233} is an apocalyptic number.

It is an amenable number.

2005012033233 is a deficient number, since it is larger than the sum of its proper divisors (917952380463).

2005012033233 is a wasteful number, since it uses less digits than its factorization.

2005012033233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137151564.

The product of its (nonzero) digits is 3240, while the sum is 24.

Adding to 2005012033233 its reverse (3323302105002), we get a palindrome (5328314138235).

The spelling of 2005012033233 in words is "two trillion, five billion, twelve million, thirty-three thousand, two hundred thirty-three".