258513 has 4 divisors (see below), whose sum is σ = 344688. Its totient is φ = 172340.

The previous prime is 258499. The next prime is 258521. The reversal of 258513 is 315852.

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.

It is a cyclic number.

It is not a de Polignac number, because 258513 - 2⁶ = 258449 is a prime.

It is a D-number.

258513 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (258563) 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, 43083 + ... + 43088.

It is an arithmetic number, because the mean of its divisors is an integer number (86172).

2²⁵⁸⁵¹³ is an apocalyptic number.

It is an amenable number.

258513 is a deficient number, since it is larger than the sum of its proper divisors (86175).

258513 is an equidigital number, since it uses as much as digits as its factorization.

258513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86174.

The product of its digits is 1200, while the sum is 24.

The square root of 258513 is about 508.4417370752. The cubic root of 258513 is about 63.7031335664.

The spelling of 258513 in words is "two hundred fifty-eight thousand, five hundred thirteen".