51580 has 12 divisors (see below), whose sum is σ = 108360. Its totient is φ = 20624.

The previous prime is 51577. The next prime is 51581. The reversal of 51580 is 8515.

51580 = T₄₃ + T₄₄ + ... + T₇₂.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51581) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1270 + ... + 1309.

It is an arithmetic number, because the mean of its divisors is an integer number (9030).

2⁵¹⁵⁸⁰ is an apocalyptic number.

It is an amenable number.

51580 is an abundant number, since it is smaller than the sum of its proper divisors (56780).

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 (54180).

51580 is a wasteful number, since it uses less digits than its factorization.

51580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 51580 is about 227.1123070201. The cubic root of 51580 is about 37.2243491107.

It can be divided in two parts, 515 and 80, that added together give a palindrome (595).

The spelling of 51580 in words is "fifty-one thousand, five hundred eighty".