127022561 has 2 divisors, whose sum is σ = 127022562. Its totient is φ = 127022560.

The previous prime is 127022501. The next prime is 127022563. The reversal of 127022561 is 165220721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91393600 + 35628961 = 9560^2 + 5969^2 .

It is an emirp because it is prime and its reverse (165220721) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 127022561 - 2²⁶ = 59913697 is a prime.

It is a super-2 number, since 2×127022561² = 32269462005997442, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 127022563, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 127022561.

It is not a weakly prime, because it can be changed into another prime (127022563) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63511280 + 63511281.

It is an arithmetic number, because the mean of its divisors is an integer number (63511281).

Almost surely, 2^127022561 is an apocalyptic number.

It is an amenable number.

127022561 is a deficient number, since it is larger than the sum of its proper divisors (1).

127022561 is an equidigital number, since it uses as much as digits as its factorization.

127022561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 127022561 is about 11270.4286076440. The cubic root of 127022561 is about 502.6823324530.

The spelling of 127022561 in words is "one hundred twenty-seven million, twenty-two thousand, five hundred sixty-one".