127048625731201 has 2 divisors, whose sum is σ = 127048625731202. Its totient is φ = 127048625731200.

The previous prime is 127048625731117. The next prime is 127048625731207. The reversal of 127048625731201 is 102137526840721.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87804414900801 + 39244210830400 = 9370401^2 + 6264520^2 .

It is a cyclic number.

It is not a de Polignac number, because 127048625731201 - 2¹³ = 127048625723009 is a prime.

It is a super-2 number, since 2×127048625731201² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (127048625731207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63524312865600 + 63524312865601.

It is an arithmetic number, because the mean of its divisors is an integer number (63524312865601).

Almost surely, 2^{127048625731201} is an apocalyptic number.

It is an amenable number.

127048625731201 is a deficient number, since it is larger than the sum of its proper divisors (1).

127048625731201 is an equidigital number, since it uses as much as digits as its factorization.

127048625731201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1128960, while the sum is 49.

The spelling of 127048625731201 in words is "one hundred twenty-seven trillion, forty-eight billion, six hundred twenty-five million, seven hundred thirty-one thousand, two hundred one".