51282 has 48 divisors (see below), whose sum is σ = 142272. Its totient is φ = 12960.

The previous prime is 51263. The next prime is 51283. The reversal of 51282 is 28215.

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

It is an Ulam number.

It is a nialpdrome in base 9 and base 16.

It is not an unprimeable number, because it can be changed into a prime (51283) by changing a digit.

51282 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 23 ways as a sum of consecutive naturals, for example, 1368 + ... + 1404.

It is an arithmetic number, because the mean of its divisors is an integer number (2964).

2⁵¹²⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71136).

51282 is an abundant number, since it is smaller than the sum of its proper divisors (90990).

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

51282 is a wasteful number, since it uses less digits than its factorization.

51282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 60 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 51282 is about 226.4552936012. The cubic root of 51282 is about 37.1525235478.

Adding to 51282 its reverse (28215), we get a palindrome (79497).

It can be divided in two parts, 51 and 282, that added together give a palindrome (333).

The spelling of 51282 in words is "fifty-one thousand, two hundred eighty-two".