258509 has 6 divisors (see below), whose sum is σ = 268110. Its totient is φ = 249240.

The previous prime is 258499. The next prime is 258521. The reversal of 258509 is 905852.

It can be written as a sum of positive squares in only one way, i.e., 162409 + 96100 = 403^2 + 310^2 .

It is not a de Polignac number, because 258509 - 2⁸ = 258253 is a prime.

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

It is a Duffinian number.

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 258509.

It is not an unprimeable number, because it can be changed into a prime (258539) 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, 827 + ... + 1095.

It is an arithmetic number, because the mean of its divisors is an integer number (44685).

2²⁵⁸⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

258509 is a deficient number, since it is larger than the sum of its proper divisors (9601).

258509 is an equidigital number, since it uses as much as digits as its factorization.

258509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 258509 is about 508.4378034726. The cubic root of 258509 is about 63.7028050029.

It can be divided in two parts, 258 and 509, that added together give a palindrome (767).

The spelling of 258509 in words is "two hundred fifty-eight thousand, five hundred nine".