10712457017 has 2 divisors, whose sum is σ = 10712457018. Its totient is φ = 10712457016.

The previous prime is 10712456987. The next prime is 10712457037. The reversal of 10712457017 is 71075421701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10712457001 + 16 = 103501^2 + 4^2 .

It is a cyclic number.

It is not a de Polignac number, because 10712457017 - 2⁸ = 10712456761 is a prime.

It is a super-2 number, since 2×10712457017² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10712457037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5356228508 + 5356228509.

It is an arithmetic number, because the mean of its divisors is an integer number (5356228509).

Almost surely, 2^10712457017 is an apocalyptic number.

It is an amenable number.

10712457017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10712457017 is an equidigital number, since it uses as much as digits as its factorization.

10712457017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13720, while the sum is 35.

Adding to 10712457017 its reverse (71075421701), we get a palindrome (81787878718).

The spelling of 10712457017 in words is "ten billion, seven hundred twelve million, four hundred fifty-seven thousand, seventeen".