12689335605337 has 2 divisors, whose sum is σ = 12689335605338. Its totient is φ = 12689335605336.

The previous prime is 12689335605299. The next prime is 12689335605371. The reversal of 12689335605337 is 73350653398621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9264407975001 + 3424927630336 = 3043749^2 + 1850656^2 .

It is a cyclic number.

It is not a de Polignac number, because 12689335605337 - 2³¹ = 12687188121689 is a prime.

It is a super-2 number, since 2×12689335605337² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12689335605137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6344667802668 + 6344667802669.

It is an arithmetic number, because the mean of its divisors is an integer number (6344667802669).

Almost surely, 2^{12689335605337} is an apocalyptic number.

It is an amenable number.

12689335605337 is a deficient number, since it is larger than the sum of its proper divisors (1).

12689335605337 is an equidigital number, since it uses as much as digits as its factorization.

12689335605337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 73483200, while the sum is 61.

The spelling of 12689335605337 in words is "twelve trillion, six hundred eighty-nine billion, three hundred thirty-five million, six hundred five thousand, three hundred thirty-seven".