253100 has 18 divisors (see below), whose sum is σ = 549444. Its totient is φ = 101200.

The previous prime is 253081. The next prime is 253103. The reversal of 253100 is 1352.

253100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×253100² = 128119220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (253103) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1166 + ... + 1365.

2²⁵³¹⁰⁰ is an apocalyptic number.

253100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253100 is an abundant number, since it is smaller than the sum of its proper divisors (296344).

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

253100 is a wasteful number, since it uses less digits than its factorization.

253100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2545 (or 2538 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 253100 is about 503.0904491242. The cubic root of 253100 is about 63.2553672793.

Adding to 253100 its reverse (1352), we get a palindrome (254452).

It can be divided in two parts, 253 and 100, that added together give a palindrome (353).

The spelling of 253100 in words is "two hundred fifty-three thousand, one hundred".