253530 has 40 divisors (see below), whose sum is σ = 683892. Its totient is φ = 67392.

The previous prime is 253507. The next prime is 253531. The reversal of 253530 is 35352.

It can be written as a sum of positive squares in 2 ways, for example, as 210681 + 42849 = 459^2 + 207^2 .

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

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

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 654 + ... + 966.

2²⁵³⁵³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341946).

253530 is an abundant number, since it is smaller than the sum of its proper divisors (430362).

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

253530 is a wasteful number, since it uses less digits than its factorization.

253530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 253530 is about 503.5176263052. The cubic root of 253530 is about 63.2911692270.

Adding to 253530 its reverse (35352), we get a palindrome (288882).

The spelling of 253530 in words is "two hundred fifty-three thousand, five hundred thirty".