253120 has 56 divisors (see below), whose sum is σ = 694944. Its totient is φ = 86016.

The previous prime is 253109. The next prime is 253133. The reversal of 253120 is 21352.

253120 = T₅₅ + T₅₆ + ... + T₁₁₈.

253120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 253120.

It is an unprimeable number.

253120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2184 + ... + 2296.

2²⁵³¹²⁰ is an apocalyptic number.

253120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347472).

253120 is an abundant number, since it is smaller than the sum of its proper divisors (441824).

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

253120 is a wasteful number, since it uses less digits than its factorization.

253120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 253120 is about 503.1103258730. The cubic root of 253120 is about 63.2570333849.

Adding to 253120 its reverse (21352), we get a palindrome (274472).

It can be divided in two parts, 253 and 120, that added together give a palindrome (373).

The spelling of 253120 in words is "two hundred fifty-three thousand, one hundred twenty".