6761010606409 has 2 divisors, whose sum is σ = 6761010606410. Its totient is φ = 6761010606408.

The previous prime is 6761010606277. The next prime is 6761010606463. The reversal of 6761010606409 is 9046060101676.

6761010606409 is digitally balanced in base 3, 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., 6543670963600 + 217339642809 = 2558060^2 + 466197^2 .

It is a cyclic number.

It is not a de Polignac number, because 6761010606409 - 2²⁷ = 6760876388681 is a prime.

It is a super-2 number, since 2×6761010606409² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (6761010606109) 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, 3380505303204 + 3380505303205.

It is an arithmetic number, because the mean of its divisors is an integer number (3380505303205).

Almost surely, 2^{6761010606409} is an apocalyptic number.

It is an amenable number.

6761010606409 is a deficient number, since it is larger than the sum of its proper divisors (1).

6761010606409 is an equidigital number, since it uses as much as digits as its factorization.

6761010606409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 326592, while the sum is 46.

The spelling of 6761010606409 in words is "six trillion, seven hundred sixty-one billion, ten million, six hundred six thousand, four hundred nine".