10164291617 has 2 divisors, whose sum is σ = 10164291618. Its totient is φ = 10164291616.

The previous prime is 10164291607. The next prime is 10164291647. The reversal of 10164291617 is 71619246101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10144719841 + 19571776 = 100721^2 + 4424^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10164291617 is a prime.

It is not a weakly prime, because it can be changed into another prime (10164291607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5082145808 + 5082145809.

It is an arithmetic number, because the mean of its divisors is an integer number (5082145809).

Almost surely, 2^10164291617 is an apocalyptic number.

It is an amenable number.

10164291617 is a deficient number, since it is larger than the sum of its proper divisors (1).

10164291617 is an equidigital number, since it uses as much as digits as its factorization.

10164291617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18144, while the sum is 38.

The spelling of 10164291617 in words is "ten billion, one hundred sixty-four million, two hundred ninety-one thousand, six hundred seventeen".