127872564961 has 2 divisors, whose sum is σ = 127872564962. Its totient is φ = 127872564960.

The previous prime is 127872564917. The next prime is 127872564973. The reversal of 127872564961 is 169465278721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73888830625 + 53983734336 = 271825^2 + 232344^2 .

It is a cyclic number.

It is not a de Polignac number, because 127872564961 - 2¹³ = 127872556769 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 127872564896 and 127872564905.

It is not a weakly prime, because it can be changed into another prime (127872564761) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63936282480 + 63936282481.

It is an arithmetic number, because the mean of its divisors is an integer number (63936282481).

Almost surely, 2^127872564961 is an apocalyptic number.

It is an amenable number.

127872564961 is a deficient number, since it is larger than the sum of its proper divisors (1).

127872564961 is an equidigital number, since it uses as much as digits as its factorization.

127872564961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10160640, while the sum is 58.

The spelling of 127872564961 in words is "one hundred twenty-seven billion, eight hundred seventy-two million, five hundred sixty-four thousand, nine hundred sixty-one".