51606 has 24 divisors (see below), whose sum is σ = 116064. Its totient is φ = 16560.

The previous prime is 51599. The next prime is 51607. The reversal of 51606 is 60615.

51606 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 9 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51607) 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, 816 + ... + 876.

It is an arithmetic number, because the mean of its divisors is an integer number (4836).

2⁵¹⁶⁰⁶ is an apocalyptic number.

51606 is an abundant number, since it is smaller than the sum of its proper divisors (64458).

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 (58032).

51606 is a wasteful number, since it uses less digits than its factorization.

51606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 51606 is about 227.1695402117. The cubic root of 51606 is about 37.2306026360.

Subtracting 51606 from its reverse (60615), we obtain a palindrome (9009).

The spelling of 51606 in words is "fifty-one thousand, six hundred six".