258301313 has 2 divisors, whose sum is σ = 258301314. Its totient is φ = 258301312.

The previous prime is 258301291. The next prime is 258301319. The reversal of 258301313 is 313103852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 254945089 + 3356224 = 15967^2 + 1832^2 .

It is a cyclic number.

It is not a de Polignac number, because 258301313 - 2²⁴ = 241524097 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (258301319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129150656 + 129150657.

It is an arithmetic number, because the mean of its divisors is an integer number (129150657).

Almost surely, 2^258301313 is an apocalyptic number.

It is an amenable number.

258301313 is a deficient number, since it is larger than the sum of its proper divisors (1).

258301313 is an equidigital number, since it uses as much as digits as its factorization.

258301313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 258301313 is about 16071.7551312854. The cubic root of 258301313 is about 636.8574074964.

The spelling of 258301313 in words is "two hundred fifty-eight million, three hundred one thousand, three hundred thirteen".