6961657605761 has 2 divisors, whose sum is σ = 6961657605762. Its totient is φ = 6961657605760.

The previous prime is 6961657605571. The next prime is 6961657605817. The reversal of 6961657605761 is 1675067561696.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4996387267600 + 1965270338161 = 2235260^2 + 1401881^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-6961657605761 is a prime.

It is a super-3 number, since 3×6961657605761³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (6961657604761) 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, 3480828802880 + 3480828802881.

It is an arithmetic number, because the mean of its divisors is an integer number (3480828802881).

Almost surely, 2^{6961657605761} is an apocalyptic number.

It is an amenable number.

6961657605761 is a deficient number, since it is larger than the sum of its proper divisors (1).

6961657605761 is an equidigital number, since it uses as much as digits as its factorization.

6961657605761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 85730400, while the sum is 65.

The spelling of 6961657605761 in words is "six trillion, nine hundred sixty-one billion, six hundred fifty-seven million, six hundred five thousand, seven hundred sixty-one".