253536 has 48 divisors (see below), whose sum is σ = 705600. Its totient is φ = 79488.

The previous prime is 253531. The next prime is 253537. The reversal of 253536 is 635352.

253536 is digitally balanced in base 3, 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 (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253531) by changing a digit.

253536 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, 1755 + ... + 1893.

It is an arithmetic number, because the mean of its divisors is an integer number (14700).

2²⁵³⁵³⁶ 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 253536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352800).

253536 is an abundant number, since it is smaller than the sum of its proper divisors (452064).

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

253536 is a wasteful number, since it uses less digits than its factorization.

253536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 163 counting only the distinct ones).

The product of its digits is 2700, while the sum is 24.

The square root of 253536 is about 503.5235843533. The cubic root of 253536 is about 63.2916685026.

Adding to 253536 its reverse (635352), we get a palindrome (888888).

The spelling of 253536 in words is "two hundred fifty-three thousand, five hundred thirty-six".