258529 has 4 divisors (see below), whose sum is σ = 259776. Its totient is φ = 257284.

The previous prime is 258527. The next prime is 258539. The reversal of 258529 is 925852.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 258529 - 2¹ = 258527 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 258529.

It is not an unprimeable number, because it can be changed into a prime (258521) 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 3 ways as a sum of consecutive naturals, for example, 229 + ... + 754.

It is an arithmetic number, because the mean of its divisors is an integer number (64944).

2²⁵⁸⁵²⁹ is an apocalyptic number.

It is an amenable number.

258529 is a deficient number, since it is larger than the sum of its proper divisors (1247).

258529 is an equidigital number, since it uses as much as digits as its factorization.

258529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246.

The product of its digits is 7200, while the sum is 31.

The square root of 258529 is about 508.4574711812. The cubic root of 258529 is about 63.7044477867.

It can be divided in two parts, 258 and 529, that added together give a palindrome (787).

The spelling of 258529 in words is "two hundred fifty-eight thousand, five hundred twenty-nine".