258072601 has 2 divisors, whose sum is σ = 258072602. Its totient is φ = 258072600.

The previous prime is 258072589. The next prime is 258072679. The reversal of 258072601 is 106270852.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 139806976 + 118265625 = 11824^2 + 10875^2 .

It is a cyclic number.

It is not a de Polignac number, because 258072601 - 2¹⁷ = 257941529 is a prime.

It is not a weakly prime, because it can be changed into another prime (258072401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129036300 + 129036301.

It is an arithmetic number, because the mean of its divisors is an integer number (129036301).

Almost surely, 2^258072601 is an apocalyptic number.

It is an amenable number.

258072601 is a deficient number, since it is larger than the sum of its proper divisors (1).

258072601 is an equidigital number, since it uses as much as digits as its factorization.

258072601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 258072601 is about 16064.6382156586. The cubic root of 258072601 is about 636.6693842645.

The spelling of 258072601 in words is "two hundred fifty-eight million, seventy-two thousand, six hundred one".