10727113277 has 2 divisors, whose sum is σ = 10727113278. Its totient is φ = 10727113276.

The previous prime is 10727113249. The next prime is 10727113283. The reversal of 10727113277 is 77231172701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8095320676 + 2631792601 = 89974^2 + 51301^2 .

It is an emirp because it is prime and its reverse (77231172701) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10727113277 - 2⁶ = 10727113213 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10727113277.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10727116277) 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 as a sum of consecutive naturals, namely, 5363556638 + 5363556639.

It is an arithmetic number, because the mean of its divisors is an integer number (5363556639).

Almost surely, 2^10727113277 is an apocalyptic number.

It is an amenable number.

10727113277 is a deficient number, since it is larger than the sum of its proper divisors (1).

10727113277 is an equidigital number, since it uses as much as digits as its factorization.

10727113277 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28812, while the sum is 38.

Adding to 10727113277 its reverse (77231172701), we get a palindrome (87958285978).

The spelling of 10727113277 in words is "ten billion, seven hundred twenty-seven million, one hundred thirteen thousand, two hundred seventy-seven".