65651561004761 has 2 divisors, whose sum is σ = 65651561004762. Its totient is φ = 65651561004760.

The previous prime is 65651561004739. The next prime is 65651561004773. The reversal of 65651561004761 is 16740016515656.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35827467216025 + 29824093788736 = 5985605^2 + 5461144^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-65651561004761 is a prime.

It is not a weakly prime, because it can be changed into another prime (65651561004461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32825780502380 + 32825780502381.

It is an arithmetic number, because the mean of its divisors is an integer number (32825780502381).

Almost surely, 2^{65651561004761} is an apocalyptic number.

It is an amenable number.

65651561004761 is a deficient number, since it is larger than the sum of its proper divisors (1).

65651561004761 is an equidigital number, since it uses as much as digits as its factorization.

65651561004761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536000, while the sum is 53.

The spelling of 65651561004761 in words is "sixty-five trillion, six hundred fifty-one billion, five hundred sixty-one million, four thousand, seven hundred sixty-one".