127952498017 has 2 divisors, whose sum is σ = 127952498018. Its totient is φ = 127952498016.

The previous prime is 127952497991. The next prime is 127952498033. The reversal of 127952498017 is 710894259721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84989157841 + 42963340176 = 291529^2 + 207276^2 .

It is a cyclic number.

It is not a de Polignac number, because 127952498017 - 2³¹ = 125805014369 is a prime.

It is not a weakly prime, because it can be changed into another prime (127952498417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63976249008 + 63976249009.

It is an arithmetic number, because the mean of its divisors is an integer number (63976249009).

Almost surely, 2^127952498017 is an apocalyptic number.

It is an amenable number.

127952498017 is a deficient number, since it is larger than the sum of its proper divisors (1).

127952498017 is an equidigital number, since it uses as much as digits as its factorization.

127952498017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2540160, while the sum is 55.

The spelling of 127952498017 in words is "one hundred twenty-seven billion, nine hundred fifty-two million, four hundred ninety-eight thousand, seventeen".