258585241 has 2 divisors, whose sum is σ = 258585242. Its totient is φ = 258585240.

The previous prime is 258585233. The next prime is 258585253. The reversal of 258585241 is 142585852.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 200505600 + 58079641 = 14160^2 + 7621^2 .

It is a cyclic number.

It is not a de Polignac number, because 258585241 - 2³ = 258585233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 258585194 and 258585203.

It is not a weakly prime, because it can be changed into another prime (258585221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129292620 + 129292621.

It is an arithmetic number, because the mean of its divisors is an integer number (129292621).

Almost surely, 2^258585241 is an apocalyptic number.

It is an amenable number.

258585241 is a deficient number, since it is larger than the sum of its proper divisors (1).

258585241 is an equidigital number, since it uses as much as digits as its factorization.

258585241 is an evil number, because the sum of its binary digits is even.

The product of its digits is 128000, while the sum is 40.

The square root of 258585241 is about 16080.5858413181. The cubic root of 258585241 is about 637.0906692306.

The spelling of 258585241 in words is "two hundred fifty-eight million, five hundred eighty-five thousand, two hundred forty-one".