258506201 has 2 divisors, whose sum is σ = 258506202. Its totient is φ = 258506200.

The previous prime is 258506159. The next prime is 258506219. The reversal of 258506201 is 102605852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 252841801 + 5664400 = 15901^2 + 2380^2 .

It is a cyclic number.

It is not a de Polignac number, because 258506201 - 2⁶ = 258506137 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (258506221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129253100 + 129253101.

It is an arithmetic number, because the mean of its divisors is an integer number (129253101).

Almost surely, 2^258506201 is an apocalyptic number.

It is an amenable number.

258506201 is a deficient number, since it is larger than the sum of its proper divisors (1).

258506201 is an equidigital number, since it uses as much as digits as its factorization.

258506201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 258506201 is about 16078.1280315838. The cubic root of 258506201 is about 637.0257508852.

The spelling of 258506201 in words is "two hundred fifty-eight million, five hundred six thousand, two hundred one".