259353 has 6 divisors (see below), whose sum is σ = 374634. Its totient is φ = 172896.

The previous prime is 259339. The next prime is 259379. The reversal of 259353 is 353952.

It can be written as a sum of positive squares in only one way, i.e., 257049 + 2304 = 507^2 + 48^2 .

It is not a de Polignac number, because 259353 - 2⁵ = 259321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (259453) 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, 14400 + ... + 14417.

It is an arithmetic number, because the mean of its divisors is an integer number (62439).

2²⁵⁹³⁵³ is an apocalyptic number.

It is an amenable number.

259353 is a deficient number, since it is larger than the sum of its proper divisors (115281).

259353 is a wasteful number, since it uses less digits than its factorization.

259353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28823 (or 28820 counting only the distinct ones).

The product of its digits is 4050, while the sum is 27.

The square root of 259353 is about 509.2671204780. The cubic root of 259353 is about 63.7720569581.

The spelling of 259353 in words is "two hundred fifty-nine thousand, three hundred fifty-three".