6511006406761 has 2 divisors, whose sum is σ = 6511006406762. Its totient is φ = 6511006406760.

The previous prime is 6511006406731. The next prime is 6511006406783. The reversal of 6511006406761 is 1676046001156.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4388941200400 + 2122065206361 = 2094980^2 + 1456731^2 .

It is a cyclic number.

It is not a de Polignac number, because 6511006406761 - 2³¹ = 6508858923113 is a prime.

It is a super-2 number, since 2×6511006406761² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (6511006406711) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3255503203380 + 3255503203381.

It is an arithmetic number, because the mean of its divisors is an integer number (3255503203381).

Almost surely, 2^{6511006406761} is an apocalyptic number.

It is an amenable number.

6511006406761 is a deficient number, since it is larger than the sum of its proper divisors (1).

6511006406761 is an equidigital number, since it uses as much as digits as its factorization.

6511006406761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 6511006406761 in words is "six trillion, five hundred eleven billion, six million, four hundred six thousand, seven hundred sixty-one".