258513289 has 2 divisors, whose sum is σ = 258513290. Its totient is φ = 258513288.

The previous prime is 258513263. The next prime is 258513293. The reversal of 258513289 is 982315852.

258513289 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 can be written as a sum of positive squares in only one way, i.e., 249008400 + 9504889 = 15780^2 + 3083^2 .

It is a cyclic number.

It is not a de Polignac number, because 258513289 - 2⁵ = 258513257 is a prime.

It is not a weakly prime, because it can be changed into another prime (258513209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129256644 + 129256645.

It is an arithmetic number, because the mean of its divisors is an integer number (129256645).

Almost surely, 2^258513289 is an apocalyptic number.

It is an amenable number.

258513289 is a deficient number, since it is larger than the sum of its proper divisors (1).

258513289 is an equidigital number, since it uses as much as digits as its factorization.

258513289 is an evil number, because the sum of its binary digits is even.

The product of its digits is 172800, while the sum is 43.

The square root of 258513289 is about 16078.3484537436. The cubic root of 258513289 is about 637.0315730502.

The spelling of 258513289 in words is "two hundred fifty-eight million, five hundred thirteen thousand, two hundred eighty-nine".