258727201 has 2 divisors, whose sum is σ = 258727202. Its totient is φ = 258727200.

The previous prime is 258727193. The next prime is 258727229. The reversal of 258727201 is 102727852.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 258566400 + 160801 = 16080^2 + 401^2 .

It is a cyclic number.

It is not a de Polignac number, because 258727201 - 2³ = 258727193 is a prime.

It is not a weakly prime, because it can be changed into another prime (258724201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129363600 + 129363601.

It is an arithmetic number, because the mean of its divisors is an integer number (129363601).

Almost surely, 2^258727201 is an apocalyptic number.

It is an amenable number.

258727201 is a deficient number, since it is larger than the sum of its proper divisors (1).

258727201 is an equidigital number, since it uses as much as digits as its factorization.

258727201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15680, while the sum is 34.

The square root of 258727201 is about 16084.9992539633. Note that the first 3 decimals coincide. The cubic root of 258727201 is about 637.2072327871.

The spelling of 258727201 in words is "two hundred fifty-eight million, seven hundred twenty-seven thousand, two hundred one".