2005134657 has 16 divisors (see below), whose sum is σ = 2815191360. Its totient is φ = 1265965632.

The previous prime is 2005134623. The next prime is 2005134709. The reversal of 2005134657 is 7564315002.

It is not a de Polignac number, because 2005134657 - 2⁸ = 2005134401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2005134757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274383 + ... + 281595.

It is an arithmetic number, because the mean of its divisors is an integer number (175949460).

Almost surely, 2^2005134657 is an apocalyptic number.

It is an amenable number.

2005134657 is a deficient number, since it is larger than the sum of its proper divisors (810056703).

2005134657 is a wasteful number, since it uses less digits than its factorization.

2005134657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12112.

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 2005134657 is about 44778.7299618915. The cubic root of 2005134657 is about 1260.9983389083.

Adding to 2005134657 its reverse (7564315002), we get a palindrome (9569449659).

The spelling of 2005134657 in words is "two billion, five million, one hundred thirty-four thousand, six hundred fifty-seven".