13712090504257 has 2 divisors, whose sum is σ = 13712090504258. Its totient is φ = 13712090504256.

The previous prime is 13712090504249. The next prime is 13712090504261. The reversal of 13712090504257 is 75240509021731.

It is a Cunningham number, because it is equal to 3702984²+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13712090504256 + 1 = 3702984^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 13712090504257 - 2³ = 13712090504249 is a prime.

It is not a weakly prime, because it can be changed into another prime (13712090504237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6856045252128 + 6856045252129.

It is an arithmetic number, because the mean of its divisors is an integer number (6856045252129).

Almost surely, 2^{13712090504257} is an apocalyptic number.

It is an amenable number.

13712090504257 is a deficient number, since it is larger than the sum of its proper divisors (1).

13712090504257 is an equidigital number, since it uses as much as digits as its factorization.

13712090504257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 529200, while the sum is 46.

Adding to 13712090504257 its reverse (75240509021731), we get a palindrome (88952599525988).

The spelling of 13712090504257 in words is "thirteen trillion, seven hundred twelve billion, ninety million, five hundred four thousand, two hundred fifty-seven".