53550 has 72 divisors (see below), whose sum is σ = 174096. Its totient is φ = 11520.

The previous prime is 53549. The next prime is 53551. The reversal of 53550 is 5535.

53550 = T₄₉ + T₅₀ + ... + T₇₅.

53550 is digitally balanced in base 2 and base 4, because in such bases 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 (53549) and next prime (53551).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53551) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3142 + ... + 3158.

It is an arithmetic number, because the mean of its divisors is an integer number (2418).

2⁵³⁵⁵⁰ is an apocalyptic number.

53550 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 53550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87048).

53550 is an abundant number, since it is smaller than the sum of its proper divisors (120546).

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

53550 is a wasteful number, since it uses less digits than its factorization.

53550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 375, while the sum is 18.

The square root of 53550 is about 231.4087293081. The cubic root of 53550 is about 37.6923450699.

It can be divided in two parts, 535 and 50, that added together give a palindrome (585).

The spelling of 53550 in words is "fifty-three thousand, five hundred fifty".