5106105610561 has 2 divisors, whose sum is σ = 5106105610562. Its totient is φ = 5106105610560.

The previous prime is 5106105610531. The next prime is 5106105610589. The reversal of 5106105610561 is 1650165016015.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5102882209936 + 3223400625 = 2258956^2 + 56775^2 .

It is a cyclic number.

It is not a de Polignac number, because 5106105610561 - 2³⁷ = 4968666657089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5106105610561.

It is not a weakly prime, because it can be changed into another prime (5106105610531) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2553052805280 + 2553052805281.

It is an arithmetic number, because the mean of its divisors is an integer number (2553052805281).

Almost surely, 2^{5106105610561} is an apocalyptic number.

It is an amenable number.

5106105610561 is a deficient number, since it is larger than the sum of its proper divisors (1).

5106105610561 is an equidigital number, since it uses as much as digits as its factorization.

5106105610561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27000, while the sum is 37.

The spelling of 5106105610561 in words is "five trillion, one hundred six billion, one hundred five million, six hundred ten thousand, five hundred sixty-one".