258509343601 has 2 divisors, whose sum is σ = 258509343602. Its totient is φ = 258509343600.

The previous prime is 258509343569. The next prime is 258509343619. The reversal of 258509343601 is 106343905852.

258509343601 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., 253689512976 + 4819830625 = 503676^2 + 69425^2 .

It is a cyclic number.

It is not a de Polignac number, because 258509343601 - 2⁵ = 258509343569 is a prime.

It is not a weakly prime, because it can be changed into another prime (258509343101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129254671800 + 129254671801.

It is an arithmetic number, because the mean of its divisors is an integer number (129254671801).

Almost surely, 2^258509343601 is an apocalyptic number.

It is an amenable number.

258509343601 is a deficient number, since it is larger than the sum of its proper divisors (1).

258509343601 is an equidigital number, since it uses as much as digits as its factorization.

258509343601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 777600, while the sum is 46.

The spelling of 258509343601 in words is "two hundred fifty-eight billion, five hundred nine million, three hundred forty-three thousand, six hundred one".