258397697749 has 2 divisors, whose sum is σ = 258397697750. Its totient is φ = 258397697748.

The previous prime is 258397697671. The next prime is 258397697771. The reversal of 258397697749 is 947796793852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 234556176100 + 23841521649 = 484310^2 + 154407^2 .

It is a cyclic number.

It is not a de Polignac number, because 258397697749 - 2⁹ = 258397697237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (258397697849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129198848874 + 129198848875.

It is an arithmetic number, because the mean of its divisors is an integer number (129198848875).

Almost surely, 2^258397697749 is an apocalyptic number.

It is an amenable number.

258397697749 is a deficient number, since it is larger than the sum of its proper divisors (1).

258397697749 is an equidigital number, since it uses as much as digits as its factorization.

258397697749 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1440270720, while the sum is 76.

The spelling of 258397697749 in words is "two hundred fifty-eight billion, three hundred ninety-seven million, six hundred ninety-seven thousand, seven hundred forty-nine".