205011 has 10 divisors (see below), whose sum is σ = 306372. Its totient is φ = 136620.

The previous prime is 204983. The next prime is 205019. The reversal of 205011 is 110502.

It is a happy number.

It is not a de Polignac number, because 205011 - 2⁵ = 204979 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

205011 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 204984 and 205002.

It is not an unprimeable number, because it can be changed into a prime (205019) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1185 + ... + 1346.

2²⁰⁵⁰¹¹ is an apocalyptic number.

205011 is a deficient number, since it is larger than the sum of its proper divisors (101361).

205011 is an equidigital number, since it uses as much as digits as its factorization.

205011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2543 (or 2534 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 205011 is about 452.7814042118. The cubic root of 205011 is about 58.9647400159.

Adding to 205011 its reverse (110502), we get a palindrome (315513).

It can be divided in two parts, 20501 and 1, that added together give a palindrome (20502).

The spelling of 205011 in words is "two hundred five thousand, eleven".