127767317257 has 2 divisors, whose sum is σ = 127767317258. Its totient is φ = 127767317256.

The previous prime is 127767317233. The next prime is 127767317291. The reversal of 127767317257 is 752713767721.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83645894656 + 44121422601 = 289216^2 + 210051^2 .

It is a cyclic number.

It is not a de Polignac number, because 127767317257 - 2¹¹ = 127767315209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 127767317198 and 127767317207.

It is not a weakly prime, because it can be changed into another prime (127767317297) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63883658628 + 63883658629.

It is an arithmetic number, because the mean of its divisors is an integer number (63883658629).

Almost surely, 2^127767317257 is an apocalyptic number.

It is an amenable number.

127767317257 is a deficient number, since it is larger than the sum of its proper divisors (1).

127767317257 is an equidigital number, since it uses as much as digits as its factorization.

127767317257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6050520, while the sum is 55.

The spelling of 127767317257 in words is "one hundred twenty-seven billion, seven hundred sixty-seven million, three hundred seventeen thousand, two hundred fifty-seven".