2011131985 has 8 divisors (see below), whose sum is σ = 2413619136. Its totient is φ = 1608731760.

The previous prime is 2011131971. The next prime is 2011132033. The reversal of 2011131985 is 5891311102.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2011131985 - 2⁵ = 2011131953 is a prime.

It is a super-2 number, since 2×2011131985² = 8089303722180080450, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 51790 + ... + 81880.

It is an arithmetic number, because the mean of its divisors is an integer number (301702392).

Almost surely, 2^2011131985 is an apocalyptic number.

It is an amenable number.

2011131985 is a deficient number, since it is larger than the sum of its proper divisors (402487151).

2011131985 is a wasteful number, since it uses less digits than its factorization.

2011131985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43463.

The product of its (nonzero) digits is 2160, while the sum is 31.

The square root of 2011131985 is about 44845.6462212331. The cubic root of 2011131985 is about 1262.2542966612.

The spelling of 2011131985 in words is "two billion, eleven million, one hundred thirty-one thousand, nine hundred eighty-five".