258563 has 2 divisors, whose sum is σ = 258564. Its totient is φ = 258562.

The previous prime is 258551. The next prime is 258569. The reversal of 258563 is 365852.

258563 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 258563 - 2⁶ = 258499 is a prime.

It is a Chen prime.

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

It is not a weakly prime, because it can be changed into another prime (258569) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129281 + 129282.

It is an arithmetic number, because the mean of its divisors is an integer number (129282).

2²⁵⁸⁵⁶³ is an apocalyptic number.

258563 is a deficient number, since it is larger than the sum of its proper divisors (1).

258563 is an equidigital number, since it uses as much as digits as its factorization.

258563 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7200, while the sum is 29.

The square root of 258563 is about 508.4909045401. The cubic root of 258563 is about 63.7072403249.

The spelling of 258563 in words is "two hundred fifty-eight thousand, five hundred sixty-three".