2005134201 has 24 divisors (see below), whose sum is σ = 3484278720. Its totient is φ = 1085485536.

The previous prime is 2005134199. The next prime is 2005134203. The reversal of 2005134201 is 1024315002.

It is an interprime number because it is at equal distance from previous prime (2005134199) and next prime (2005134203).

It is not a de Polignac number, because 2005134201 - 2¹ = 2005134199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2005134203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 836370 + ... + 838763.

It is an arithmetic number, because the mean of its divisors is an integer number (145178280).

Almost surely, 2^2005134201 is an apocalyptic number.

2005134201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2005134201 is a deficient number, since it is larger than the sum of its proper divisors (1479144519).

2005134201 is a wasteful number, since it uses less digits than its factorization.

2005134201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675165 (or 1675162 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2005134201 is about 44778.7248701881. The cubic root of 2005134201 is about 1260.9982433178.

Adding to 2005134201 its reverse (1024315002), we get a palindrome (3029449203).

The spelling of 2005134201 in words is "two billion, five million, one hundred thirty-four thousand, two hundred one".