253020 has 24 divisors (see below), whose sum is σ = 708624. Its totient is φ = 67456.

The previous prime is 253013. The next prime is 253049. The reversal of 253020 is 20352.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 252987 and 253005.

It is a congruent number.

It is an unprimeable number.

253020 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2049 + ... + 2168.

It is an arithmetic number, because the mean of its divisors is an integer number (29526).

2²⁵³⁰²⁰ is an apocalyptic number.

253020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253020 is an abundant number, since it is smaller than the sum of its proper divisors (455604).

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

253020 is a wasteful number, since it uses less digits than its factorization.

253020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4229 (or 4227 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 253020 is about 503.0109342748. The cubic root of 253020 is about 63.2487019788.

Adding to 253020 its reverse (20352), we get a palindrome (273372).

The spelling of 253020 in words is "two hundred fifty-three thousand, twenty".