258905265077 has 2 divisors, whose sum is σ = 258905265078. Its totient is φ = 258905265076.

The previous prime is 258905264999. The next prime is 258905265079. The reversal of 258905265077 is 770562509852.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 205454599441 + 53450665636 = 453271^2 + 231194^2 .

It is a cyclic number.

It is not a de Polignac number, because 258905265077 - 2³⁴ = 241725395893 is a prime.

Together with 258905265079, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (258905265079) 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, 129452632538 + 129452632539.

It is an arithmetic number, because the mean of its divisors is an integer number (129452632539).

Almost surely, 2^258905265077 is an apocalyptic number.

It is an amenable number.

258905265077 is a deficient number, since it is larger than the sum of its proper divisors (1).

258905265077 is an equidigital number, since it uses as much as digits as its factorization.

258905265077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10584000, while the sum is 56.

The spelling of 258905265077 in words is "two hundred fifty-eight billion, nine hundred five million, two hundred sixty-five thousand, seventy-seven".