259953 has 8 divisors (see below), whose sum is σ = 351648. Its totient is φ = 170784.

The previous prime is 259949. The next prime is 259967. The reversal of 259953 is 359952.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 259953 - 2² = 259949 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (259933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 375 + ... + 812.

It is an arithmetic number, because the mean of its divisors is an integer number (43956).

2²⁵⁹⁹⁵³ is an apocalyptic number.

It is an amenable number.

259953 is a deficient number, since it is larger than the sum of its proper divisors (91695).

259953 is a wasteful number, since it uses less digits than its factorization.

259953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263.

The product of its digits is 12150, while the sum is 33.

The square root of 259953 is about 509.8558619845. The cubic root of 259953 is about 63.8211968889.

Subtracting 259953 from its reverse (359952), we obtain a palindrome (99999).

The spelling of 259953 in words is "two hundred fifty-nine thousand, nine hundred fifty-three".