51306 has 16 divisors (see below), whose sum is σ = 108864. Its totient is φ = 16064.

The previous prime is 51287. The next prime is 51307. The reversal of 51306 is 60315.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (51307) by changing a digit.

51306 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150 + ... + 353.

It is an arithmetic number, because the mean of its divisors is an integer number (6804).

2⁵¹³⁰⁶ is an apocalyptic number.

51306 is an abundant number, since it is smaller than the sum of its proper divisors (57558).

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 (54432).

51306 is a wasteful number, since it uses less digits than its factorization.

51306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 51306 is about 226.5082779944. The cubic root of 51306 is about 37.1583184433.

Subtracting 51306 from its reverse (60315), we obtain a palindrome (9009).

The spelling of 51306 in words is "fifty-one thousand, three hundred six".