2005133405 has 16 divisors (see below), whose sum is σ = 2626435584. Its totient is φ = 1457426880.

The previous prime is 2005133237. The next prime is 2005133419. The reversal of 2005133405 is 5043315002.

It is a de Polignac number, because none of the positive numbers 2^k-2005133405 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93524 + ... + 112946.

It is an arithmetic number, because the mean of its divisors is an integer number (164152224).

Almost surely, 2^2005133405 is an apocalyptic number.

It is an amenable number.

2005133405 is a deficient number, since it is larger than the sum of its proper divisors (621302179).

2005133405 is a wasteful number, since it uses less digits than its factorization.

2005133405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21316.

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 2005133405 is about 44778.7159820377. The cubic root of 2005133405 is about 1260.9980764537.

Adding to 2005133405 its reverse (5043315002), we get a palindrome (7048448407).

The spelling of 2005133405 in words is "two billion, five million, one hundred thirty-three thousand, four hundred five".