2005765011 has 12 divisors (see below), whose sum is σ = 3004520792. Its totient is φ = 1337176512.

The previous prime is 2005764967. The next prime is 2005765031. The reversal of 2005765011 is 1105675002.

2005765011 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 7 + 650 + 1 + 1 = 666.

It is not a de Polignac number, because 2005765011 - 2¹⁴ = 2005748627 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2005765031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4126846 + ... + 4127331.

Almost surely, 2^2005765011 is an apocalyptic number.

2005765011 is a deficient number, since it is larger than the sum of its proper divisors (998755781).

2005765011 is an frugal number, since it uses more digits than its factorization.

2005765011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8254192 (or 8254180 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 2005765011 is about 44785.7679514374. The cubic root of 2005765011 is about 1261.1304650415.

Subtracting from 2005765011 its reverse (1105675002), we obtain a palindrome (900090009).

The spelling of 2005765011 in words is "two billion, five million, seven hundred sixty-five thousand, eleven".