6121735622017 has 2 divisors, whose sum is σ = 6121735622018. Its totient is φ = 6121735622016.

The previous prime is 6121735621927. The next prime is 6121735622087. The reversal of 6121735622017 is 7102265371216.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4461371942416 + 1660363679601 = 2112196^2 + 1288551^2 .

It is a cyclic number.

It is not a de Polignac number, because 6121735622017 - 2³¹ = 6119588138369 is a prime.

It is not a weakly prime, because it can be changed into another prime (6121735622087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3060867811008 + 3060867811009.

It is an arithmetic number, because the mean of its divisors is an integer number (3060867811009).

Almost surely, 2^{6121735622017} is an apocalyptic number.

It is an amenable number.

6121735622017 is a deficient number, since it is larger than the sum of its proper divisors (1).

6121735622017 is an equidigital number, since it uses as much as digits as its factorization.

6121735622017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 211680, while the sum is 43.

The spelling of 6121735622017 in words is "six trillion, one hundred twenty-one billion, seven hundred thirty-five million, six hundred twenty-two thousand, seventeen".