12776006961 has 45 divisors (see below), whose sum is σ = 20173013883. Its totient is φ = 8056849680.

The previous prime is 12776006951. The next prime is 12776006987. The reversal of 12776006961 is 16960067721.

It is a happy number.

The square root of 12776006961 is 113031.

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., 10144316961 + 2631690000 = 100719^2 + 51300^2 .

It is not a de Polignac number, because 12776006961 - 2⁹ = 12776006449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12776006921) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 19327971 + ... + 19328631.

Almost surely, 2^12776006961 is an apocalyptic number.

12776006961 is the 113031-st square number.

12776006961 is the 56516-th centered octagonal number.

It is an amenable number.

12776006961 is a deficient number, since it is larger than the sum of its proper divisors (7397006922).

12776006961 is an frugal number, since it uses more digits than its factorization.

12776006961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 12776006961 in words is "twelve billion, seven hundred seventy-six million, six thousand, nine hundred sixty-one".