64007031017 has 2 divisors, whose sum is σ = 64007031018. Its totient is φ = 64007031016.

The previous prime is 64007031013. The next prime is 64007031019. The reversal of 64007031017 is 71013070046.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35505488041 + 28501542976 = 188429^2 + 168824^2 .

It is a cyclic number.

It is not a de Polignac number, because 64007031017 - 2² = 64007031013 is a prime.

It is a super-2 number, since 2×64007031017² (a number of 22 digits) contains 22 as substring.

Together with 64007031019, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (64007031013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32003515508 + 32003515509.

It is an arithmetic number, because the mean of its divisors is an integer number (32003515509).

Almost surely, 2^64007031017 is an apocalyptic number.

It is an amenable number.

64007031017 is a deficient number, since it is larger than the sum of its proper divisors (1).

64007031017 is an equidigital number, since it uses as much as digits as its factorization.

64007031017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3528, while the sum is 29.

The spelling of 64007031017 in words is "sixty-four billion, seven million, thirty-one thousand, seventeen".