253506 has 32 divisors (see below), whose sum is σ = 580608. Its totient is φ = 73040.

The previous prime is 253501. The next prime is 253507. The reversal of 253506 is 605352.

253506 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 253506.

It is not an unprimeable number, because it can be changed into a prime (253501) 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, 1435 + ... + 1601.

It is an arithmetic number, because the mean of its divisors is an integer number (18144).

2²⁵³⁵⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290304).

253506 is an abundant number, since it is smaller than the sum of its proper divisors (327102).

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

253506 is a wasteful number, since it uses less digits than its factorization.

253506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206.

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 253506 is about 503.4937934076. The cubic root of 253506 is about 63.2891720459.

Adding to 253506 its reverse (605352), we get a palindrome (858858).

It can be divided in two parts, 25350 and 6, that multiplied together give a square (152100 = 390²).

The spelling of 253506 in words is "two hundred fifty-three thousand, five hundred six".