51080 has 16 divisors (see below), whose sum is σ = 115020. Its totient is φ = 20416.

The previous prime is 51071. The next prime is 51109. The reversal of 51080 is 8015.

51080 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 2 ways, for example, as 51076 + 4 = 226^2 + 2^2 .

It is a plaindrome in base 12 and base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 599 + ... + 678.

2⁵¹⁰⁸⁰ is an apocalyptic number.

It is an amenable number.

51080 is an abundant number, since it is smaller than the sum of its proper divisors (63940).

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 (57510).

51080 is a wasteful number, since it uses less digits than its factorization.

51080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 51080 is about 226.0088493843. The cubic root of 51080 is about 37.1036780451.

Subtracting from 51080 its product of nonzero digits (40), we obtain a triangular number (51040 = T₃₁₉).

Adding to 51080 its reverse (8015), we get a palindrome (59095).

The spelling of 51080 in words is "fifty-one thousand, eighty".