6961417041217 has 2 divisors, whose sum is σ = 6961417041218. Its totient is φ = 6961417041216.

The previous prime is 6961417041199. The next prime is 6961417041233. The reversal of 6961417041217 is 7121407141696.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6144072668176 + 817344373041 = 2478724^2 + 904071^2 .

It is a cyclic number.

It is not a de Polignac number, because 6961417041217 - 2³⁹ = 6411661227329 is a prime.

It is a super-2 number, since 2×6961417041217² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (6961417041247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3480708520608 + 3480708520609.

It is an arithmetic number, because the mean of its divisors is an integer number (3480708520609).

Almost surely, 2^{6961417041217} is an apocalyptic number.

It is an amenable number.

6961417041217 is a deficient number, since it is larger than the sum of its proper divisors (1).

6961417041217 is an equidigital number, since it uses as much as digits as its factorization.

6961417041217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 508032, while the sum is 49.

The spelling of 6961417041217 in words is "six trillion, nine hundred sixty-one billion, four hundred seventeen million, forty-one thousand, two hundred seventeen".