10127000617 has 2 divisors, whose sum is σ = 10127000618. Its totient is φ = 10127000616.

The previous prime is 10127000573. The next prime is 10127000629. The reversal of 10127000617 is 71600072101.

10127000617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5773112361 + 4353888256 = 75981^2 + 65984^2 .

It is an emirp because it is prime and its reverse (71600072101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10127000617 - 2⁷ = 10127000489 is a prime.

It is a super-2 number, since 2×10127000617² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10127000591 and 10127000600.

It is not a weakly prime, because it can be changed into another prime (10127000647) 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, 5063500308 + 5063500309.

It is an arithmetic number, because the mean of its divisors is an integer number (5063500309).

Almost surely, 2^10127000617 is an apocalyptic number.

It is an amenable number.

10127000617 is a deficient number, since it is larger than the sum of its proper divisors (1).

10127000617 is an equidigital number, since it uses as much as digits as its factorization.

10127000617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 588, while the sum is 25.

Adding to 10127000617 its reverse (71600072101), we get a palindrome (81727072718).

The spelling of 10127000617 in words is "ten billion, one hundred twenty-seven million, six hundred seventeen", and thus it is an aban number.