126805221226757 has 2 divisors, whose sum is σ = 126805221226758. Its totient is φ = 126805221226756.

The previous prime is 126805221226741. The next prime is 126805221226759. The reversal of 126805221226757 is 757622122508621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84183726178561 + 42621495048196 = 9175169^2 + 6528514^2 .

It is a cyclic number.

It is not a de Polignac number, because 126805221226757 - 2⁴ = 126805221226741 is a prime.

Together with 126805221226759, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (126805221226759) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63402610613378 + 63402610613379.

It is an arithmetic number, because the mean of its divisors is an integer number (63402610613379).

Almost surely, 2^{126805221226757} is an apocalyptic number.

It is an amenable number.

126805221226757 is a deficient number, since it is larger than the sum of its proper divisors (1).

126805221226757 is an equidigital number, since it uses as much as digits as its factorization.

126805221226757 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11289600, while the sum is 56.

The spelling of 126805221226757 in words is "one hundred twenty-six trillion, eight hundred five billion, two hundred twenty-one million, two hundred twenty-six thousand, seven hundred fifty-seven".