13082762366561 has 2 divisors, whose sum is σ = 13082762366562. Its totient is φ = 13082762366560.

The previous prime is 13082762366507. The next prime is 13082762366579. The reversal of 13082762366561 is 16566326728031.

It is a happy number.

13082762366561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11910401811025 + 1172360555536 = 3451145^2 + 1082756^2 .

It is a cyclic number.

It is not a de Polignac number, because 13082762366561 - 2¹⁰ = 13082762365537 is a prime.

It is a super-2 number, since 2×13082762366561² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13082762366497 and 13082762366506.

It is not a weakly prime, because it can be changed into another prime (13082762566561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6541381183280 + 6541381183281.

It is an arithmetic number, because the mean of its divisors is an integer number (6541381183281).

Almost surely, 2^{13082762366561} is an apocalyptic number.

It is an amenable number.

13082762366561 is a deficient number, since it is larger than the sum of its proper divisors (1).

13082762366561 is an equidigital number, since it uses as much as digits as its factorization.

13082762366561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13063680, while the sum is 56.

The spelling of 13082762366561 in words is "thirteen trillion, eighty-two billion, seven hundred sixty-two million, three hundred sixty-six thousand, five hundred sixty-one".