10165661554481 has 2 divisors, whose sum is σ = 10165661554482. Its totient is φ = 10165661554480.

The previous prime is 10165661554421. The next prime is 10165661554507. The reversal of 10165661554481 is 18445516656101.

10165661554481 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., 9796173853456 + 369487701025 = 3129884^2 + 607855^2 .

It is a cyclic number.

It is not a de Polignac number, because 10165661554481 - 2³⁰ = 10164587812657 is a prime.

It is a super-2 number, since 2×10165661554481² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10165661554421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5082830777240 + 5082830777241.

It is an arithmetic number, because the mean of its divisors is an integer number (5082830777241).

Almost surely, 2^{10165661554481} is an apocalyptic number.

It is an amenable number.

10165661554481 is a deficient number, since it is larger than the sum of its proper divisors (1).

10165661554481 is an equidigital number, since it uses as much as digits as its factorization.

10165661554481 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456000, while the sum is 53.

The spelling of 10165661554481 in words is "ten trillion, one hundred sixty-five billion, six hundred sixty-one million, five hundred fifty-four thousand, four hundred eighty-one".