2011521585 has 32 divisors (see below), whose sum is σ = 3249361152. Its totient is φ = 1062547200.

The previous prime is 2011521571. The next prime is 2011521601. The reversal of 2011521585 is 5851251102.

It is not a de Polignac number, because 2011521585 - 2⁸ = 2011521329 is a prime.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 898087 + ... + 900323.

It is an arithmetic number, because the mean of its divisors is an integer number (101542536).

Almost surely, 2^2011521585 is an apocalyptic number.

It is an amenable number.

2011521585 is a deficient number, since it is larger than the sum of its proper divisors (1237839567).

2011521585 is a wasteful number, since it uses less digits than its factorization.

2011521585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2793.

The product of its (nonzero) digits is 4000, while the sum is 30.

The square root of 2011521585 is about 44849.9897993299. The cubic root of 2011521585 is about 1262.3358001006.

Adding to 2011521585 its reverse (5851251102), we get a palindrome (7862772687).

The spelling of 2011521585 in words is "two billion, eleven million, five hundred twenty-one thousand, five hundred eighty-five".