259553 has 6 divisors (see below), whose sum is σ = 301986. Its totient is φ = 222432.

The previous prime is 259547. The next prime is 259577. The reversal of 259553 is 355952.

It can be written as a sum of positive squares in only one way, i.e., 247009 + 12544 = 497^2 + 112^2 .

It is not a de Polignac number, because 259553 - 2⁴ = 259537 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (259583) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2600 + ... + 2697.

It is an arithmetic number, because the mean of its divisors is an integer number (50331).

2²⁵⁹⁵⁵³ is an apocalyptic number.

It is an amenable number.

259553 is a deficient number, since it is larger than the sum of its proper divisors (42433).

259553 is an equidigital number, since it uses as much as digits as its factorization.

259553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5311 (or 5304 counting only the distinct ones).

The product of its digits is 6750, while the sum is 29.

The square root of 259553 is about 509.4634432420. The cubic root of 259553 is about 63.7884453481.

The spelling of 259553 in words is "two hundred fifty-nine thousand, five hundred fifty-three".