51336 has 48 divisors (see below), whose sum is σ = 149760. Its totient is φ = 15840.

The previous prime is 51329. The next prime is 51341. The reversal of 51336 is 63315.

51336 = 10³ + 11³ + ... + 21³.

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

It is a plaindrome in base 14.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1641 + ... + 1671.

It is an arithmetic number, because the mean of its divisors is an integer number (3120).

2⁵¹³³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74880).

51336 is an abundant number, since it is smaller than the sum of its proper divisors (98424).

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

51336 is a wasteful number, since it uses less digits than its factorization.

51336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 59 counting only the distinct ones).

The product of its digits is 270, while the sum is 18.

The square root of 51336 is about 226.5744910620. The cubic root of 51336 is about 37.1655595220.

The spelling of 51336 in words is "fifty-one thousand, three hundred thirty-six".