41654066131193 has 2 divisors, whose sum is σ = 41654066131194. Its totient is φ = 41654066131192.

The previous prime is 41654066131163. The next prime is 41654066131211. The reversal of 41654066131193 is 39113166045614.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40420438297849 + 1233627833344 = 6357707^2 + 1110688^2 .

It is a cyclic number.

It is not a de Polignac number, because 41654066131193 - 2¹⁸ = 41654065869049 is a prime.

It is a super-2 number, since 2×41654066131193² (a number of 28 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 (41654066131163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20827033065596 + 20827033065597.

It is an arithmetic number, because the mean of its divisors is an integer number (20827033065597).

Almost surely, 2^{41654066131193} is an apocalyptic number.

It is an amenable number.

41654066131193 is a deficient number, since it is larger than the sum of its proper divisors (1).

41654066131193 is an equidigital number, since it uses as much as digits as its factorization.

41654066131193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1399680, while the sum is 50.

The spelling of 41654066131193 in words is "forty-one trillion, six hundred fifty-four billion, sixty-six million, one hundred thirty-one thousand, one hundred ninety-three".