12637502618513 has 2 divisors, whose sum is σ = 12637502618514. Its totient is φ = 12637502618512.

The previous prime is 12637502618423. The next prime is 12637502618569. The reversal of 12637502618513 is 31581620573621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12006585362704 + 630917255809 = 3465052^2 + 794303^2 .

It is a cyclic number.

It is not a de Polignac number, because 12637502618513 - 2¹⁴ = 12637502602129 is a prime.

It is a super-2 number, since 2×12637502618513² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12637502618113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6318751309256 + 6318751309257.

It is an arithmetic number, because the mean of its divisors is an integer number (6318751309257).

Almost surely, 2^{12637502618513} is an apocalyptic number.

It is an amenable number.

12637502618513 is a deficient number, since it is larger than the sum of its proper divisors (1).

12637502618513 is an equidigital number, since it uses as much as digits as its factorization.

12637502618513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1814400, while the sum is 50.

The spelling of 12637502618513 in words is "twelve trillion, six hundred thirty-seven billion, five hundred two million, six hundred eighteen thousand, five hundred thirteen".