67541963082917 has 2 divisors, whose sum is σ = 67541963082918. Its totient is φ = 67541963082916.

The previous prime is 67541963082787. The next prime is 67541963082941. The reversal of 67541963082917 is 71928036914576.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62100688399201 + 5441274683716 = 7880399^2 + 2332654^2 .

It is a cyclic number.

It is not a de Polignac number, because 67541963082917 - 2¹⁰ = 67541963081893 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (67541963382917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33770981541458 + 33770981541459.

It is an arithmetic number, because the mean of its divisors is an integer number (33770981541459).

It is a 1-persistent number, because it is pandigital, but 2⋅67541963082917 = 135083926165834 is not.

Almost surely, 2^{67541963082917} is an apocalyptic number.

It is an amenable number.

67541963082917 is a deficient number, since it is larger than the sum of its proper divisors (1).

67541963082917 is an equidigital number, since it uses as much as digits as its factorization.

67541963082917 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 137168640, while the sum is 68.

The spelling of 67541963082917 in words is "sixty-seven trillion, five hundred forty-one billion, nine hundred sixty-three million, eighty-two thousand, nine hundred seventeen".