127337417017 has 2 divisors, whose sum is σ = 127337417018. Its totient is φ = 127337417016.

The previous prime is 127337416993. The next prime is 127337417027. The reversal of 127337417017 is 710714733721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120089278521 + 7248138496 = 346539^2 + 85136^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-127337417017 is a prime.

It is a super-2 number, since 2×127337417017² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (127337417027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63668708508 + 63668708509.

It is an arithmetic number, because the mean of its divisors is an integer number (63668708509).

Almost surely, 2^127337417017 is an apocalyptic number.

It is an amenable number.

127337417017 is a deficient number, since it is larger than the sum of its proper divisors (1).

127337417017 is an equidigital number, since it uses as much as digits as its factorization.

127337417017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 172872, while the sum is 43.

The spelling of 127337417017 in words is "one hundred twenty-seven billion, three hundred thirty-seven million, four hundred seventeen thousand, seventeen".