256614166611289 has 2 divisors, whose sum is σ = 256614166611290. Its totient is φ = 256614166611288.

The previous prime is 256614166611259. The next prime is 256614166611301. The reversal of 256614166611289 is 982116661416652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 165655124421264 + 90959042190025 = 12870708^2 + 9537245^2 .

It is a cyclic number.

It is not a de Polignac number, because 256614166611289 - 2⁹ = 256614166610777 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 256614166611289.

It is not a weakly prime, because it can be changed into another prime (256614166611259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128307083305644 + 128307083305645.

It is an arithmetic number, because the mean of its divisors is an integer number (128307083305645).

Almost surely, 2^{256614166611289} is an apocalyptic number.

It is an amenable number.

256614166611289 is a deficient number, since it is larger than the sum of its proper divisors (1).

256614166611289 is an equidigital number, since it uses as much as digits as its factorization.

256614166611289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 44789760, while the sum is 64.

The spelling of 256614166611289 in words is "two hundred fifty-six trillion, six hundred fourteen billion, one hundred sixty-six million, six hundred eleven thousand, two hundred eighty-nine".