2122256636257 has 2 divisors, whose sum is σ = 2122256636258. Its totient is φ = 2122256636256.

The previous prime is 2122256636207. The next prime is 2122256636263. The reversal of 2122256636257 is 7526366522212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1233678925521 + 888577710736 = 1110711^2 + 942644^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2122256636257 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2122256636257.

It is not a weakly prime, because it can be changed into another prime (2122256636207) 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, 1061128318128 + 1061128318129.

It is an arithmetic number, because the mean of its divisors is an integer number (1061128318129).

Almost surely, 2^{2122256636257} is an apocalyptic number.

It is an amenable number.

2122256636257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122256636257 is an equidigital number, since it uses as much as digits as its factorization.

2122256636257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3628800, while the sum is 49.

The spelling of 2122256636257 in words is "two trillion, one hundred twenty-two billion, two hundred fifty-six million, six hundred thirty-six thousand, two hundred fifty-seven".