258720593 has 2 divisors, whose sum is σ = 258720594. Its totient is φ = 258720592.

The previous prime is 258720577. The next prime is 258720599. The reversal of 258720593 is 395027852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 142253329 + 116467264 = 11927^2 + 10792^2 .

It is a cyclic number.

It is not a de Polignac number, because 258720593 - 2⁴ = 258720577 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 258720593.

It is not a weakly prime, because it can be changed into another prime (258720599) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129360296 + 129360297.

It is an arithmetic number, because the mean of its divisors is an integer number (129360297).

Almost surely, 2^258720593 is an apocalyptic number.

It is an amenable number.

258720593 is a deficient number, since it is larger than the sum of its proper divisors (1).

258720593 is an equidigital number, since it uses as much as digits as its factorization.

258720593 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 151200, while the sum is 41.

The square root of 258720593 is about 16084.7938438763. The cubic root of 258720593 is about 637.2018078953.

The spelling of 258720593 in words is "two hundred fifty-eight million, seven hundred twenty thousand, five hundred ninety-three".