126772767277601 has 2 divisors, whose sum is σ = 126772767277602. Its totient is φ = 126772767277600.

The previous prime is 126772767277543. The next prime is 126772767277657. The reversal of 126772767277601 is 106772767277621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65325981837601 + 61446785440000 = 8082449^2 + 7838800^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-126772767277601 is a prime.

It is not a weakly prime, because it can be changed into another prime (126772767277691) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63386383638800 + 63386383638801.

It is an arithmetic number, because the mean of its divisors is an integer number (63386383638801).

Almost surely, 2^{126772767277601} is an apocalyptic number.

It is an amenable number.

126772767277601 is a deficient number, since it is larger than the sum of its proper divisors (1).

126772767277601 is an equidigital number, since it uses as much as digits as its factorization.

126772767277601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 203297472, while the sum is 68.

The spelling of 126772767277601 in words is "one hundred twenty-six trillion, seven hundred seventy-two billion, seven hundred sixty-seven million, two hundred seventy-seven thousand, six hundred one".