12633647617 has 2 divisors, whose sum is σ = 12633647618. Its totient is φ = 12633647616.

The previous prime is 12633647581. The next prime is 12633647657. The reversal of 12633647617 is 71674633621.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8774256241 + 3859391376 = 93671^2 + 62124^2 .

It is an emirp because it is prime and its reverse (71674633621) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12633647617 is a prime.

It is a super-3 number, since 3×12633647617³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (12633647657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6316823808 + 6316823809.

It is an arithmetic number, because the mean of its divisors is an integer number (6316823809).

Almost surely, 2^12633647617 is an apocalyptic number.

It is an amenable number.

12633647617 is a deficient number, since it is larger than the sum of its proper divisors (1).

12633647617 is an equidigital number, since it uses as much as digits as its factorization.

12633647617 is an evil number, because the sum of its binary digits is even.

The product of its digits is 762048, while the sum is 46.

The spelling of 12633647617 in words is "twelve billion, six hundred thirty-three million, six hundred forty-seven thousand, six hundred seventeen".