2005253211 has 16 divisors (see below), whose sum is σ = 2881037600. Its totient is φ = 1233273600.

The previous prime is 2005253203. The next prime is 2005253267. The reversal of 2005253211 is 1123525002.

It is not a de Polignac number, because 2005253211 - 2³ = 2005253203 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2005253311) by changing a digit.

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, 55965 + ... + 84513.

It is an arithmetic number, because the mean of its divisors is an integer number (180064850).

Almost surely, 2^2005253211 is an apocalyptic number.

2005253211 is a deficient number, since it is larger than the sum of its proper divisors (875784389).

2005253211 is a wasteful number, since it uses less digits than its factorization.

2005253211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30366.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 2005253211 is about 44780.0537181455. The cubic root of 2005253211 is about 1261.0231906808.

Adding to 2005253211 its reverse (1123525002), we get a palindrome (3128778213).

The spelling of 2005253211 in words is "two billion, five million, two hundred fifty-three thousand, two hundred eleven".