258013 has 16 divisors (see below), whose sum is σ = 322560. Its totient is φ = 201600.

The previous prime is 257993. The next prime is 258019. The reversal of 258013 is 310852.

It is a happy number.

It is not a de Polignac number, because 258013 - 2⁵ = 257981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6273 + ... + 6313.

It is an arithmetic number, because the mean of its divisors is an integer number (20160).

2²⁵⁸⁰¹³ is an apocalyptic number.

It is an amenable number.

258013 is a deficient number, since it is larger than the sum of its proper divisors (64547).

258013 is a wasteful number, since it uses less digits than its factorization.

258013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 258013 is about 507.9498006693. The cubic root of 258013 is about 63.6620368273.

Adding to 258013 its reverse (310852), we get a palindrome (568865).

The spelling of 258013 in words is "two hundred fifty-eight thousand, thirteen".