53120 has 32 divisors (see below), whose sum is σ = 128520. Its totient is φ = 20992.

The previous prime is 53117. The next prime is 53129. The reversal of 53120 is 2135.

It is a tau number, because it is divible by the number of its divisors (32).

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 53120.

It is not an unprimeable number, because it can be changed into a prime (53129) by changing a digit.

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 + ... + 681.

2⁵³¹²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64260).

53120 is an abundant number, since it is smaller than the sum of its proper divisors (75400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53120 is an equidigital number, since it uses as much as digits as its factorization.

53120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 53120 is about 230.4777646542. The cubic root of 53120 is about 37.5911854998.

Adding to 53120 its reverse (2135), we get a palindrome (55255).

It can be divided in two parts, 5 and 3120, that added together give a 5-th power (3125 = 5⁵).

The spelling of 53120 in words is "fifty-three thousand, one hundred twenty".