53190 has 32 divisors (see below), whose sum is σ = 142560. Its totient is φ = 14112.

The previous prime is 53189. The next prime is 53197. The reversal of 53190 is 9135.

It is a super-2 number, since 2×53190² = 5658352200, which contains 22 as substring.

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

It is a zygodrome in base 3.

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 53190.

It is not an unprimeable number, because it can be changed into a prime (53197) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172 + ... + 368.

It is an arithmetic number, because the mean of its divisors is an integer number (4455).

2⁵³¹⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71280).

53190 is an abundant number, since it is smaller than the sum of its proper divisors (89370).

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

53190 is a wasteful number, since it uses less digits than its factorization.

53190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 53190 is about 230.6295731254. The cubic root of 53190 is about 37.6076904444.

It can be divided in two parts, 53 and 190, that added together give a 5-th power (243 = 3⁵).

The spelling of 53190 in words is "fifty-three thousand, one hundred ninety".