5505101611661 has 2 divisors, whose sum is σ = 5505101611662. Its totient is φ = 5505101611660.

The previous prime is 5505101611567. The next prime is 5505101611663. The reversal of 5505101611661 is 1661161015055.

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., 3608077456036 + 1897024155625 = 1899494^2 + 1377325^2 .

It is a cyclic number.

It is not a de Polignac number, because 5505101611661 - 2³⁴ = 5487921742477 is a prime.

It is a super-2 number, since 2×5505101611661² (a number of 26 digits) contains 22 as substring.

Together with 5505101611663, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5505101611663) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2752550805830 + 2752550805831.

It is an arithmetic number, because the mean of its divisors is an integer number (2752550805831).

Almost surely, 2^{5505101611661} is an apocalyptic number.

It is an amenable number.

5505101611661 is a deficient number, since it is larger than the sum of its proper divisors (1).

5505101611661 is an equidigital number, since it uses as much as digits as its factorization.

5505101611661 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 38.

The spelling of 5505101611661 in words is "five trillion, five hundred five billion, one hundred one million, six hundred eleven thousand, six hundred sixty-one".