10727307037649 has 2 divisors, whose sum is σ = 10727307037650. Its totient is φ = 10727307037648.

The previous prime is 10727307037637. The next prime is 10727307037651. The reversal of 10727307037649 is 94673070372701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10280795751424 + 446511286225 = 3206368^2 + 668215^2 .

It is a cyclic number.

It is not a de Polignac number, because 10727307037649 - 2⁴ = 10727307037633 is a prime.

It is a super-3 number, since 3×10727307037649³ (a number of 40 digits) contains 333 as substring.

It is a Sophie Germain prime.

Together with 10727307037651, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10727307037594 and 10727307037603.

It is not a weakly prime, because it can be changed into another prime (10727307037609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5363653518824 + 5363653518825.

It is an arithmetic number, because the mean of its divisors is an integer number (5363653518825).

Almost surely, 2^{10727307037649} is an apocalyptic number.

It is an amenable number.

10727307037649 is a deficient number, since it is larger than the sum of its proper divisors (1).

10727307037649 is an equidigital number, since it uses as much as digits as its factorization.

10727307037649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9335088, while the sum is 56.

The spelling of 10727307037649 in words is "ten trillion, seven hundred twenty-seven billion, three hundred seven million, thirty-seven thousand, six hundred forty-nine".