10272705637661 has 2 divisors, whose sum is σ = 10272705637662. Its totient is φ = 10272705637660.

The previous prime is 10272705637657. The next prime is 10272705637783. The reversal of 10272705637661 is 16673650727201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6439763953561 + 3832941684100 = 2537669^2 + 1957790^2 .

It is a cyclic number.

It is not a de Polignac number, because 10272705637661 - 2² = 10272705637657 is a prime.

It is a super-2 number, since 2×10272705637661² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10272705637631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5136352818830 + 5136352818831.

It is an arithmetic number, because the mean of its divisors is an integer number (5136352818831).

Almost surely, 2^{10272705637661} is an apocalyptic number.

It is an amenable number.

10272705637661 is a deficient number, since it is larger than the sum of its proper divisors (1).

10272705637661 is an equidigital number, since it uses as much as digits as its factorization.

10272705637661 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4445280, while the sum is 53.

The spelling of 10272705637661 in words is "ten trillion, two hundred seventy-two billion, seven hundred five million, six hundred thirty-seven thousand, six hundred sixty-one".