51180 has 24 divisors (see below), whose sum is σ = 143472. Its totient is φ = 13632.

The previous prime is 51169. The next prime is 51193. The reversal of 51180 is 8115.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

51180 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 7 ways as a sum of consecutive naturals, for example, 367 + ... + 486.

It is an arithmetic number, because the mean of its divisors is an integer number (5978).

2⁵¹¹⁸⁰ is an apocalyptic number.

It is an amenable number.

51180 is an abundant number, since it is smaller than the sum of its proper divisors (92292).

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 (71736).

51180 is a wasteful number, since it uses less digits than its factorization.

51180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 51180 is about 226.2299714892. The cubic root of 51180 is about 37.1278750508.

Adding to 51180 its reverse (8115), we get a palindrome (59295).

It can be divided in two parts, 51 and 180, that multiplied together give a triangular number (9180 = T₁₃₅).

The spelling of 51180 in words is "fifty-one thousand, one hundred eighty".