51268 has 12 divisors (see below), whose sum is σ = 102592. Its totient is φ = 21960.

The previous prime is 51263. The next prime is 51283. The reversal of 51268 is 86215.

It is a happy number.

51268 is an admirable number.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 11.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (51263) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 888 + ... + 943.

2⁵¹²⁶⁸ is an apocalyptic number.

It is an amenable number.

51268 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (51296).

51268 is a wasteful number, since it uses less digits than its factorization.

51268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 1840 counting only the distinct ones).

The product of its digits is 480, while the sum is 22.

The square root of 51268 is about 226.4243803127. The cubic root of 51268 is about 37.1491423571.

The spelling of 51268 in words is "fifty-one thousand, two hundred sixty-eight".