12506881761049 has 9 divisors (see below), whose sum is σ = 13543004589663. Its totient is φ = 11544771495192.

The previous prime is 12506881761047. The next prime is 12506881761151. The reversal of 12506881761049 is 94016718860521.

The square root of 12506881761049 is 3536507.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1850130438025 + 10656751323024 = 1360195^2 + 3264468^2 .

It is not a de Polignac number, because 12506881761049 - 2¹ = 12506881761047 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12506881760984 and 12506881761002.

It is not an unprimeable number, because it can be changed into a prime (12506881761043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 45838572 + ... + 46110610.

Almost surely, 2^{12506881761049} is an apocalyptic number.

12506881761049 is the 3536507-th square number.

12506881761049 is the 1768254-th centered octagonal number.

It is an amenable number.

12506881761049 is a deficient number, since it is larger than the sum of its proper divisors (1036122828614).

12506881761049 is an frugal number, since it uses more digits than its factorization.

12506881761049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544104 (or 272052 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 58.

The spelling of 12506881761049 in words is "twelve trillion, five hundred six billion, eight hundred eighty-one million, seven hundred sixty-one thousand, forty-nine".