2005053330505 has 16 divisors (see below), whose sum is σ = 2419668288000. Its totient is φ = 1594996977280.

The previous prime is 2005053330499. The next prime is 2005053330517. The reversal of 2005053330505 is 5050333505002.

It is not a de Polignac number, because 2005053330505 - 2³⁷ = 1867614377033 is a prime.

It is an unprimeable number.

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, 816655 + ... + 2162644.

It is an arithmetic number, because the mean of its divisors is an integer number (151229268000).

Almost surely, 2^{2005053330505} is an apocalyptic number.

It is an amenable number.

2005053330505 is a deficient number, since it is larger than the sum of its proper divisors (414614957495).

2005053330505 is a wasteful number, since it uses less digits than its factorization.

2005053330505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2980064.

The product of its (nonzero) digits is 33750, while the sum is 31.

Adding to 2005053330505 its reverse (5050333505002), we get a palindrome (7055386835507).

The spelling of 2005053330505 in words is "two trillion, five billion, fifty-three million, three hundred thirty thousand, five hundred five".