6511101016649 has 2 divisors, whose sum is σ = 6511101016650. Its totient is φ = 6511101016648.

The previous prime is 6511101016573. The next prime is 6511101016657. The reversal of 6511101016649 is 9466101011156.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5467679626249 + 1043421390400 = 2338307^2 + 1021480^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-6511101016649 is a prime.

It is not a weakly prime, because it can be changed into another prime (6511101016549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3255550508324 + 3255550508325.

It is an arithmetic number, because the mean of its divisors is an integer number (3255550508325).

Almost surely, 2^{6511101016649} is an apocalyptic number.

It is an amenable number.

6511101016649 is a deficient number, since it is larger than the sum of its proper divisors (1).

6511101016649 is an equidigital number, since it uses as much as digits as its factorization.

6511101016649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 41.

The spelling of 6511101016649 in words is "six trillion, five hundred eleven billion, one hundred one million, sixteen thousand, six hundred forty-nine".