2005137905277 has 48 divisors (see below), whose sum is σ = 2907210602688. Its totient is φ = 1228728683520.

The previous prime is 2005137905233. The next prime is 2005137905279. The reversal of 2005137905277 is 7725097315002.

It is not a de Polignac number, because 2005137905277 - 2⁸ = 2005137905021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005137905279) 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 47 ways as a sum of consecutive naturals, for example, 309383877 + ... + 309390357.

It is an arithmetic number, because the mean of its divisors is an integer number (60566887556).

Almost surely, 2^{2005137905277} is an apocalyptic number.

It is an amenable number.

2005137905277 is a deficient number, since it is larger than the sum of its proper divisors (902072697411).

2005137905277 is a wasteful number, since it uses less digits than its factorization.

2005137905277 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8990 (or 8977 counting only the distinct ones).

The product of its (nonzero) digits is 926100, while the sum is 48.

The spelling of 2005137905277 in words is "two trillion, five billion, one hundred thirty-seven million, nine hundred five thousand, two hundred seventy-seven".