127647753894097 has 2 divisors, whose sum is σ = 127647753894098. Its totient is φ = 127647753894096.

The previous prime is 127647753894077. The next prime is 127647753894107. The reversal of 127647753894097 is 790498357746721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117266721208576 + 10381032685521 = 10828976^2 + 3221961^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-127647753894097 is a prime.

It is not a weakly prime, because it can be changed into another prime (127647753894077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63823876947048 + 63823876947049.

It is an arithmetic number, because the mean of its divisors is an integer number (63823876947049).

It is a 1-persistent number, because it is pandigital, but 2⋅127647753894097 = 255295507788194 is not.

Almost surely, 2^{127647753894097} is an apocalyptic number.

It is an amenable number.

127647753894097 is a deficient number, since it is larger than the sum of its proper divisors (1).

127647753894097 is an equidigital number, since it uses as much as digits as its factorization.

127647753894097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4480842240, while the sum is 79.

The spelling of 127647753894097 in words is "one hundred twenty-seven trillion, six hundred forty-seven billion, seven hundred fifty-three million, eight hundred ninety-four thousand, ninety-seven".