253000 has 64 divisors (see below), whose sum is σ = 673920. Its totient is φ = 88000.

The previous prime is 252983. The next prime is 253003. The reversal of 253000 is 352.

253000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253003) by changing a digit.

253000 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 15 ways as a sum of consecutive naturals, for example, 10989 + ... + 11011.

It is an arithmetic number, because the mean of its divisors is an integer number (10530).

2²⁵³⁰⁰⁰ is an apocalyptic number.

253000 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 253000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336960).

253000 is an abundant number, since it is smaller than the sum of its proper divisors (420920).

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

253000 is a wasteful number, since it uses less digits than its factorization.

253000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 10.

The square root of 253000 is about 502.9910535984. The cubic root of 253000 is about 63.2470354342.

Adding to 253000 its reverse (352), we get a palindrome (253352).

It can be divided in two parts, 25 and 3000, that added together give a square (3025 = 55²).

The spelling of 253000 in words is "two hundred fifty-three thousand".