257430709729 has 2 divisors, whose sum is σ = 257430709730. Its totient is φ = 257430709728.

The previous prime is 257430709717. The next prime is 257430709747. The reversal of 257430709729 is 927907034752.

It is a happy number.

257430709729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 254661529600 + 2769180129 = 504640^2 + 52623^2 .

It is a cyclic number.

It is not a de Polignac number, because 257430709729 - 2²⁷ = 257296492001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 257430709729.

It is not a weakly prime, because it can be changed into another prime (257430709829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128715354864 + 128715354865.

It is an arithmetic number, because the mean of its divisors is an integer number (128715354865).

Almost surely, 2^257430709729 is an apocalyptic number.

It is an amenable number.

257430709729 is a deficient number, since it is larger than the sum of its proper divisors (1).

257430709729 is an equidigital number, since it uses as much as digits as its factorization.

257430709729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6667920, while the sum is 55.

The spelling of 257430709729 in words is "two hundred fifty-seven billion, four hundred thirty million, seven hundred nine thousand, seven hundred twenty-nine".