258909488897 has 2 divisors, whose sum is σ = 258909488898. Its totient is φ = 258909488896.

The previous prime is 258909488891. The next prime is 258909488899. The reversal of 258909488897 is 798884909852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 152815319056 + 106094169841 = 390916^2 + 325721^2 .

It is a cyclic number.

It is not a de Polignac number, because 258909488897 - 2⁴ = 258909488881 is a prime.

Together with 258909488899, 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 (258909488891) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129454744448 + 129454744449.

It is an arithmetic number, because the mean of its divisors is an integer number (129454744449).

Almost surely, 2^258909488897 is an apocalyptic number.

It is an amenable number.

258909488897 is a deficient number, since it is larger than the sum of its proper divisors (1).

258909488897 is an equidigital number, since it uses as much as digits as its factorization.

258909488897 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 836075520, while the sum is 77.

The spelling of 258909488897 in words is "two hundred fifty-eight billion, nine hundred nine million, four hundred eighty-eight thousand, eight hundred ninety-seven".