2005315505 has 16 divisors (see below), whose sum is σ = 2419785984. Its totient is φ = 1595341440.

The previous prime is 2005315493. The next prime is 2005315511. The reversal of 2005315505 is 5055135002.

It is not a de Polignac number, because 2005315505 - 2¹⁸ = 2005053361 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 764957 + ... + 767573.

It is an arithmetic number, because the mean of its divisors is an integer number (151236624).

Almost surely, 2^2005315505 is an apocalyptic number.

It is an amenable number.

2005315505 is a deficient number, since it is larger than the sum of its proper divisors (414470479).

2005315505 is a wasteful number, since it uses less digits than its factorization.

2005315505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3416.

The product of its (nonzero) digits is 3750, while the sum is 26.

The square root of 2005315505 is about 44780.7492679611. The cubic root of 2005315505 is about 1261.0362486103.

The spelling of 2005315505 in words is "two billion, five million, three hundred fifteen thousand, five hundred five".