5105616166561 has 2 divisors, whose sum is σ = 5105616166562. Its totient is φ = 5105616166560.

The previous prime is 5105616166531. The next prime is 5105616166579. The reversal of 5105616166561 is 1656616165015.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2639507118336 + 2466109048225 = 1624656^2 + 1570385^2 .

It is a cyclic number.

It is not a de Polignac number, because 5105616166561 - 2¹¹ = 5105616164513 is a prime.

It is not a weakly prime, because it can be changed into another prime (5105616166531) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2552808083280 + 2552808083281.

It is an arithmetic number, because the mean of its divisors is an integer number (2552808083281).

Almost surely, 2^{5105616166561} is an apocalyptic number.

It is an amenable number.

5105616166561 is a deficient number, since it is larger than the sum of its proper divisors (1).

5105616166561 is an equidigital number, since it uses as much as digits as its factorization.

5105616166561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972000, while the sum is 49.

The spelling of 5105616166561 in words is "five trillion, one hundred five billion, six hundred sixteen million, one hundred sixty-six thousand, five hundred sixty-one".