126116613174257 has 2 divisors, whose sum is σ = 126116613174258. Its totient is φ = 126116613174256.

The previous prime is 126116613174217. The next prime is 126116613174301. The reversal of 126116613174257 is 752471316611621.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 126112360960576 + 4252213681 = 11229976^2 + 65209^2 .

It is a cyclic number.

It is not a de Polignac number, because 126116613174257 - 2¹⁰ = 126116613173233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 126116613174199 and 126116613174208.

It is not a weakly prime, because it can be changed into another prime (126116613174217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63058306587128 + 63058306587129.

It is an arithmetic number, because the mean of its divisors is an integer number (63058306587129).

Almost surely, 2^{126116613174257} is an apocalyptic number.

It is an amenable number.

126116613174257 is a deficient number, since it is larger than the sum of its proper divisors (1).

126116613174257 is an equidigital number, since it uses as much as digits as its factorization.

126116613174257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2540160, while the sum is 53.

Adding to 126116613174257 its reverse (752471316611621), we get a palindrome (878587929785878).

The spelling of 126116613174257 in words is "one hundred twenty-six trillion, one hundred sixteen billion, six hundred thirteen million, one hundred seventy-four thousand, two hundred fifty-seven".