253011 has 24 divisors (see below), whose sum is σ = 402192. Its totient is φ = 140800.

The previous prime is 253003. The next prime is 253013. The reversal of 253011 is 110352.

It is not a de Polignac number, because 253011 - 2³ = 253003 is a prime.

It is a super-2 number, since 2×253011² = 128029132242, which contains 22 as substring.

253011 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (253013) 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 23 ways as a sum of consecutive naturals, for example, 6151 + ... + 6191.

It is an arithmetic number, because the mean of its divisors is an integer number (16758).

253011 is a Friedman number, since it can be written as 503^2+1+1, using all its digits and the basic arithmetic operations.

2²⁵³⁰¹¹ is an apocalyptic number.

253011 is a deficient number, since it is larger than the sum of its proper divisors (149181).

253011 is a wasteful number, since it uses less digits than its factorization.

253011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 253011 is about 503.0019880676. The cubic root of 253011 is about 63.2479520446.

Adding to 253011 its reverse (110352), we get a palindrome (363363).

The spelling of 253011 in words is "two hundred fifty-three thousand, eleven".