52116 has 24 divisors (see below), whose sum is σ = 125664. Its totient is φ = 16800.

The previous prime is 52103. The next prime is 52121. The reversal of 52116 is 61125.

52116 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 52095 and 52104.

It is a congruent number.

It is an unprimeable number.

52116 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 466 + ... + 566.

It is an arithmetic number, because the mean of its divisors is an integer number (5236).

2⁵²¹¹⁶ is an apocalyptic number.

It is an amenable number.

52116 is an abundant number, since it is smaller than the sum of its proper divisors (73548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62832).

52116 is a wasteful number, since it uses less digits than its factorization.

52116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 149 counting only the distinct ones).

The product of its digits is 60, while the sum is 15.

The square root of 52116 is about 228.2892901562. The cubic root of 52116 is about 37.3528455258.

Subtracting 52116 from its reverse (61125), we obtain a palindrome (9009).

The spelling of 52116 in words is "fifty-two thousand, one hundred sixteen".