53130 has 64 divisors (see below), whose sum is σ = 165888. Its totient is φ = 10560.

The previous prime is 53129. The next prime is 53147. The reversal of 53130 is 3135.

It is a happy number.

53130 is a nontrivial binomial coefficient, being equal to C(25, 5).

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 53130.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2299 + ... + 2321.

It is an arithmetic number, because the mean of its divisors is an integer number (2592).

2⁵³¹³⁰ is an apocalyptic number.

It is a pronic number, being equal to 230×231.

It is a practical number, because each smaller number is the sum of distinct divisors of 53130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82944).

53130 is an abundant number, since it is smaller than the sum of its proper divisors (112758).

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

53130 is a wasteful number, since it uses less digits than its factorization.

53130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51.

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 53130 is about 230.4994577000. The cubic root of 53130 is about 37.5935442364.

Adding to 53130 its reverse (3135), we get a palindrome (56265).

It can be divided in two parts, 531 and 30, that added together give a triangular number (561 = T₃₃).

The spelling of 53130 in words is "fifty-three thousand, one hundred thirty".