256752989142697 has 2 divisors, whose sum is σ = 256752989142698. Its totient is φ = 256752989142696.

The previous prime is 256752989142679. The next prime is 256752989142709. The reversal of 256752989142697 is 796241989257652.

It is a happy number.

Together with previous prime (256752989142679) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 216984124405161 + 39768864737536 = 14730381^2 + 6306256^2 .

It is a cyclic number.

It is not a de Polignac number, because 256752989142697 - 2¹¹ = 256752989140649 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 256752989142697.

It is not a weakly prime, because it can be changed into another prime (256752989142607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128376494571348 + 128376494571349.

It is an arithmetic number, because the mean of its divisors is an integer number (128376494571349).

Almost surely, 2^{256752989142697} is an apocalyptic number.

It is an amenable number.

256752989142697 is a deficient number, since it is larger than the sum of its proper divisors (1).

256752989142697 is an equidigital number, since it uses as much as digits as its factorization.

256752989142697 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8230118400, while the sum is 82.

The spelling of 256752989142697 in words is "two hundred fifty-six trillion, seven hundred fifty-two billion, nine hundred eighty-nine million, one hundred forty-two thousand, six hundred ninety-seven".