257679954769 has 2 divisors, whose sum is σ = 257679954770. Its totient is φ = 257679954768.

The previous prime is 257679954751. The next prime is 257679954787. The reversal of 257679954769 is 967459976752.

It is a balanced prime because it is at equal distance from previous prime (257679954751) and next prime (257679954787).

It can be written as a sum of positive squares in only one way, i.e., 225256550544 + 32423404225 = 474612^2 + 180065^2 .

It is a cyclic number.

It is not a de Polignac number, because 257679954769 - 2¹¹ = 257679952721 is a prime.

It is a super-2 number, since 2×257679954769² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 257679954695 and 257679954704.

It is not a weakly prime, because it can be changed into another prime (257679964769) 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, 128839977384 + 128839977385.

It is an arithmetic number, because the mean of its divisors is an integer number (128839977385).

Almost surely, 2^257679954769 is an apocalyptic number.

It is an amenable number.

257679954769 is a deficient number, since it is larger than the sum of its proper divisors (1).

257679954769 is an equidigital number, since it uses as much as digits as its factorization.

257679954769 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1800338400, while the sum is 76.

The spelling of 257679954769 in words is "two hundred fifty-seven billion, six hundred seventy-nine million, nine hundred fifty-four thousand, seven hundred sixty-nine".