258743057 has 2 divisors, whose sum is σ = 258743058. Its totient is φ = 258743056.

The previous prime is 258743041. The next prime is 258743059. The reversal of 258743057 is 750347852.

258743057 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., 247244176 + 11498881 = 15724^2 + 3391^2 .

It is a cyclic number.

It is not a de Polignac number, because 258743057 - 2⁴ = 258743041 is a prime.

Together with 258743059, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (258743059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129371528 + 129371529.

It is an arithmetic number, because the mean of its divisors is an integer number (129371529).

Almost surely, 2^258743057 is an apocalyptic number.

It is an amenable number.

258743057 is a deficient number, since it is larger than the sum of its proper divisors (1).

258743057 is an equidigital number, since it uses as much as digits as its factorization.

258743057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 235200, while the sum is 41.

The square root of 258743057 is about 16085.4921280016. The cubic root of 258743057 is about 637.2202495237.

The spelling of 258743057 in words is "two hundred fifty-eight million, seven hundred forty-three thousand, fifty-seven".