1296680960961 has 9 divisors (see below), whose sum is σ = 1872988544739. Its totient is φ = 864451696536.

The previous prime is 1296680960951. The next prime is 1296680961019. The reversal of 1296680960961 is 1690690866921.

The square root of 1296680960961 is 1138719.

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

1296680960961 is a `hidden beast` number, since 12 + 9 + 6 + 6 + 8 + 0 + 9 + 609 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 349866335025 + 946814625936 = 591495^2 + 973044^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1296680960961 - 2⁷ = 1296680960833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1296680960951) 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 8 ways as a sum of consecutive naturals, for example, 3226371 + ... + 3605943.

Almost surely, 2^{1296680960961} is an apocalyptic number.

1296680960961 is the 1138719-th square number.

1296680960961 is the 569360-th centered octagonal number.

It is an amenable number.

1296680960961 is a deficient number, since it is larger than the sum of its proper divisors (576307583778).

1296680960961 is an frugal number, since it uses more digits than its factorization.

1296680960961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759152 (or 379576 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 63.

The spelling of 1296680960961 in words is "one trillion, two hundred ninety-six billion, six hundred eighty million, nine hundred sixty thousand, nine hundred sixty-one".