257430779729 has 2 divisors, whose sum is σ = 257430779730. Its totient is φ = 257430779728.

The previous prime is 257430779699. The next prime is 257430779743. The reversal of 257430779729 is 927977034752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 214021890625 + 43408889104 = 462625^2 + 208348^2 .

It is a cyclic number.

It is not a de Polignac number, because 257430779729 - 2³⁶ = 188711302993 is a prime.

It is not a weakly prime, because it can be changed into another prime (257430709729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128715389864 + 128715389865.

It is an arithmetic number, because the mean of its divisors is an integer number (128715389865).

Almost surely, 2^257430779729 is an apocalyptic number.

It is an amenable number.

257430779729 is a deficient number, since it is larger than the sum of its proper divisors (1).

257430779729 is an equidigital number, since it uses as much as digits as its factorization.

257430779729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46675440, while the sum is 62.

The spelling of 257430779729 in words is "two hundred fifty-seven billion, four hundred thirty million, seven hundred seventy-nine thousand, seven hundred twenty-nine".