258393689 has 2 divisors, whose sum is σ = 258393690. Its totient is φ = 258393688.

The previous prime is 258393617. The next prime is 258393713. The reversal of 258393689 is 986393852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 243609664 + 14784025 = 15608^2 + 3845^2 .

It is a cyclic number.

It is not a de Polignac number, because 258393689 - 2¹⁶ = 258328153 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 258393689.

It is not a weakly prime, because it can be changed into another prime (258393389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129196844 + 129196845.

It is an arithmetic number, because the mean of its divisors is an integer number (129196845).

Almost surely, 2^258393689 is an apocalyptic number.

It is an amenable number.

258393689 is a deficient number, since it is larger than the sum of its proper divisors (1).

258393689 is an equidigital number, since it uses as much as digits as its factorization.

258393689 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2799360, while the sum is 53.

The square root of 258393689 is about 16074.6287359926. The cubic root of 258393689 is about 636.9333179741.

The spelling of 258393689 in words is "two hundred fifty-eight million, three hundred ninety-three thousand, six hundred eighty-nine".