2005532311 has 16 divisors (see below), whose sum is σ = 2128896000. Its totient is φ = 1885470048.

The previous prime is 2005532303. The next prime is 2005532363. The reversal of 2005532311 is 1132355002.

It is a cyclic number.

It is not a de Polignac number, because 2005532311 - 2³ = 2005532303 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005536311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315240 + ... + 321538.

It is an arithmetic number, because the mean of its divisors is an integer number (133056000).

Almost surely, 2^2005532311 is an apocalyptic number.

2005532311 is a deficient number, since it is larger than the sum of its proper divisors (123363689).

2005532311 is a wasteful number, since it uses less digits than its factorization.

2005532311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6558.

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 2005532311 is about 44783.1699525614. The cubic root of 2005532311 is about 1261.0816928927.

Adding to 2005532311 its reverse (1132355002), we get a palindrome (3137887313).

The spelling of 2005532311 in words is "two billion, five million, five hundred thirty-two thousand, three hundred eleven".