12777130657 has 8 divisors (see below), whose sum is σ = 13530125736. Its totient is φ = 12024291072.

The previous prime is 12777130579. The next prime is 12777130669. The reversal of 12777130657 is 75603177721.

12777130657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5910688161 + 6866442496 = 76881^2 + 82864^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12777130657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12777130687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159183 + ... + 225595.

It is an arithmetic number, because the mean of its divisors is an integer number (1691265717).

Almost surely, 2^12777130657 is an apocalyptic number.

12777130657 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12777130657 is a deficient number, since it is larger than the sum of its proper divisors (752995079).

12777130657 is a wasteful number, since it uses less digits than its factorization.

12777130657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77747.

The product of its (nonzero) digits is 432180, while the sum is 46.

The spelling of 12777130657 in words is "twelve billion, seven hundred seventy-seven million, one hundred thirty thousand, six hundred fifty-seven".