12563633761 has 12 divisors (see below), whose sum is σ = 14616779268. Its totient is φ = 10767399552.

The previous prime is 12563633759. The next prime is 12563633773. The reversal of 12563633761 is 16733636521.

It can be written as a sum of positive squares in 2 ways, for example, as 11013243136 + 1550390625 = 104944^2 + 39375^2 .

It is not a de Polignac number, because 12563633761 - 2¹ = 12563633759 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12563633711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 540205 + ... + 562981.

It is an arithmetic number, because the mean of its divisors is an integer number (1218064939).

Almost surely, 2^12563633761 is an apocalyptic number.

It is an amenable number.

12563633761 is a deficient number, since it is larger than the sum of its proper divisors (2053145507).

12563633761 is a wasteful number, since it uses less digits than its factorization.

12563633761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34048 (or 34041 counting only the distinct ones).

The product of its digits is 408240, while the sum is 43.

The spelling of 12563633761 in words is "twelve billion, five hundred sixty-three million, six hundred thirty-three thousand, seven hundred sixty-one".