13853785823257 has 2 divisors, whose sum is σ = 13853785823258. Its totient is φ = 13853785823256.

The previous prime is 13853785823203. The next prime is 13853785823291. The reversal of 13853785823257 is 75232858735831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7439905409161 + 6413880414096 = 2727619^2 + 2532564^2 .

It is an emirp because it is prime and its reverse (75232858735831) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13853785823257 - 2¹¹ = 13853785821209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13853785823192 and 13853785823201.

It is not a weakly prime, because it can be changed into another prime (13853785823957) 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, 6926892911628 + 6926892911629.

It is an arithmetic number, because the mean of its divisors is an integer number (6926892911629).

Almost surely, 2^{13853785823257} is an apocalyptic number.

It is an amenable number.

13853785823257 is a deficient number, since it is larger than the sum of its proper divisors (1).

13853785823257 is an equidigital number, since it uses as much as digits as its factorization.

13853785823257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 338688000, while the sum is 67.

The spelling of 13853785823257 in words is "thirteen trillion, eight hundred fifty-three billion, seven hundred eighty-five million, eight hundred twenty-three thousand, two hundred fifty-seven".