52011 has 6 divisors (see below), whose sum is σ = 75140. Its totient is φ = 34668.

The previous prime is 52009. The next prime is 52021. The reversal of 52011 is 11025.

It is a happy number.

It is not a de Polignac number, because 52011 - 2¹ = 52009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 5779 = 52011 / (5 + 2 + 0 + 1 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 51984 and 52002.

It is not an unprimeable number, because it can be changed into a prime (52021) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2881 + ... + 2898.

2⁵²⁰¹¹ is an apocalyptic number.

52011 is a deficient number, since it is larger than the sum of its proper divisors (23129).

52011 is a wasteful number, since it uses less digits than its factorization.

52011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5785 (or 5782 counting only the distinct ones).

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

The square root of 52011 is about 228.0592028400. The cubic root of 52011 is about 37.3277432815.

Adding to 52011 its reverse (11025), we get a palindrome (63036).

It can be divided in two parts, 5 and 2011, that added together give a triangular number (2016 = T₆₃).

The spelling of 52011 in words is "fifty-two thousand, eleven".