126772767277657 has 2 divisors, whose sum is σ = 126772767277658. Its totient is φ = 126772767277656.

The previous prime is 126772767277601. The next prime is 126772767277687. The reversal of 126772767277657 is 756772767277621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88535227587856 + 38237539689801 = 9409316^2 + 6183651^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-126772767277657 is a prime.

It is not a weakly prime, because it can be changed into another prime (126772767277687) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63386383638828 + 63386383638829.

It is an arithmetic number, because the mean of its divisors is an integer number (63386383638829).

Almost surely, 2^{126772767277657} is an apocalyptic number.

It is an amenable number.

126772767277657 is a deficient number, since it is larger than the sum of its proper divisors (1).

126772767277657 is an equidigital number, since it uses as much as digits as its factorization.

126772767277657 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7115411520, while the sum is 79.

The spelling of 126772767277657 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 fifty-seven".