53088 has 48 divisors (see below), whose sum is σ = 161280. Its totient is φ = 14976.

The previous prime is 53087. The next prime is 53089. The reversal of 53088 is 88035.

53088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53087) and next prime (53089).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 5³ + 3⁹ + 0 + 8³ + 8⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 633 + ... + 711.

It is an arithmetic number, because the mean of its divisors is an integer number (3360).

2⁵³⁰⁸⁸ 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 53088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80640).

53088 is an abundant number, since it is smaller than the sum of its proper divisors (108192).

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

53088 is a wasteful number, since it uses less digits than its factorization.

53088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 53088 is about 230.4083331826. The cubic root of 53088 is about 37.5836355527.

The spelling of 53088 in words is "fifty-three thousand, eighty-eight".