127048625731457 has 2 divisors, whose sum is σ = 127048625731458. Its totient is φ = 127048625731456.

The previous prime is 127048625731409. The next prime is 127048625731483. The reversal of 127048625731457 is 754137526840721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64251622835521 + 62797002895936 = 8015711^2 + 7924456^2 .

It is an emirp because it is prime and its reverse (754137526840721) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 127048625731457 - 2⁸ = 127048625731201 is a prime.

It is a super-2 number, since 2×127048625731457² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 127048625731457.

It is not a weakly prime, because it can be changed into another prime (127048625739457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63524312865728 + 63524312865729.

It is an arithmetic number, because the mean of its divisors is an integer number (63524312865729).

Almost surely, 2^{127048625731457} is an apocalyptic number.

It is an amenable number.

127048625731457 is a deficient number, since it is larger than the sum of its proper divisors (1).

127048625731457 is an equidigital number, since it uses as much as digits as its factorization.

127048625731457 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 79027200, while the sum is 62.

The spelling of 127048625731457 in words is "one hundred twenty-seven trillion, forty-eight billion, six hundred twenty-five million, seven hundred thirty-one thousand, four hundred fifty-seven".