257252386406413 has 2 divisors, whose sum is σ = 257252386406414. Its totient is φ = 257252386406412.

The previous prime is 257252386406387. The next prime is 257252386406443. The reversal of 257252386406413 is 314604683252752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 256343571197289 + 908815209124 = 16010733^2 + 953318^2 .

It is a cyclic number.

It is not a de Polignac number, because 257252386406413 - 2²⁹ = 257251849535501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257252386406443) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128626193203206 + 128626193203207.

It is an arithmetic number, because the mean of its divisors is an integer number (128626193203207).

Almost surely, 2^{257252386406413} is an apocalyptic number.

It is an amenable number.

257252386406413 is a deficient number, since it is larger than the sum of its proper divisors (1).

257252386406413 is an equidigital number, since it uses as much as digits as its factorization.

257252386406413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58060800, while the sum is 58.

The spelling of 257252386406413 in words is "two hundred fifty-seven trillion, two hundred fifty-two billion, three hundred eighty-six million, four hundred six thousand, four hundred thirteen".