259125 has 16 divisors (see below), whose sum is σ = 431808. Its totient is φ = 138000.

The previous prime is 259123. The next prime is 259151. The reversal of 259125 is 521952.

It is not a de Polignac number, because 259125 - 2¹ = 259123 is a prime.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 259095 and 259104.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 259125.

It is not an unprimeable number, because it can be changed into a prime (259121) 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 15 ways as a sum of consecutive naturals, for example, 30 + ... + 720.

It is an arithmetic number, because the mean of its divisors is an integer number (26988).

2²⁵⁹¹²⁵ is an apocalyptic number.

259125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

259125 is a deficient number, since it is larger than the sum of its proper divisors (172683).

259125 is an equidigital number, since it uses as much as digits as its factorization.

259125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 699 counting only the distinct ones).

The product of its digits is 900, while the sum is 24.

The square root of 259125 is about 509.0432201690. The cubic root of 259125 is about 63.7533639132.

The spelling of 259125 in words is "two hundred fifty-nine thousand, one hundred twenty-five".