51116 has 12 divisors (see below), whose sum is σ = 96432. Its totient is φ = 23568.

The previous prime is 51109. The next prime is 51131. The reversal of 51116 is 61115.

It is a super-2 number, since 2×51116² = 5225690912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51116.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 51116.

It is an unprimeable number.

51116 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 3 ways as a sum of consecutive naturals, for example, 440 + ... + 543.

It is an arithmetic number, because the mean of its divisors is an integer number (8036).

2⁵¹¹¹⁶ is an apocalyptic number.

It is an amenable number.

51116 is a deficient number, since it is larger than the sum of its proper divisors (45316).

51116 is a wasteful number, since it uses less digits than its factorization.

51116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 998 counting only the distinct ones).

The product of its digits is 30, while the sum is 14.

The square root of 51116 is about 226.0884782557. The cubic root of 51116 is about 37.1123926023.

Subtracting 51116 from its reverse (61115), we obtain a palindrome (9999).

The spelling of 51116 in words is "fifty-one thousand, one hundred sixteen".