51140 has 12 divisors (see below), whose sum is σ = 107436. Its totient is φ = 20448.

The previous prime is 51137. The next prime is 51151. The reversal of 51140 is 4115.

51140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 20164 + 30976 = 142^2 + 176^2 .

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1259 + ... + 1298.

It is an arithmetic number, because the mean of its divisors is an integer number (8953).

2⁵¹¹⁴⁰ is an apocalyptic number.

It is an amenable number.

51140 is an abundant number, since it is smaller than the sum of its proper divisors (56296).

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 (53718).

51140 is a wasteful number, since it uses less digits than its factorization.

51140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2566 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 51140 is about 226.1415485929. The cubic root of 51140 is about 37.1182000341.

Adding to 51140 its reverse (4115), we get a palindrome (55255).

It can be divided in two parts, 51 and 140, that multiplied together give a triangular number (7140 = T₁₁₉).

The spelling of 51140 in words is "fifty-one thousand, one hundred forty".