4055605461617 has 2 divisors, whose sum is σ = 4055605461618. Its totient is φ = 4055605461616.

The previous prime is 4055605461599. The next prime is 4055605461631. The reversal of 4055605461617 is 7161645065504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2149504922161 + 1906100539456 = 1466119^2 + 1380616^2 .

It is a cyclic number.

It is not a de Polignac number, because 4055605461617 - 2¹⁰ = 4055605460593 is a prime.

It is not a weakly prime, because it can be changed into another prime (4055605061617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2027802730808 + 2027802730809.

It is an arithmetic number, because the mean of its divisors is an integer number (2027802730809).

Almost surely, 2^{4055605461617} is an apocalyptic number.

It is an amenable number.

4055605461617 is a deficient number, since it is larger than the sum of its proper divisors (1).

4055605461617 is an equidigital number, since it uses as much as digits as its factorization.

4055605461617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3024000, while the sum is 50.

The spelling of 4055605461617 in words is "four trillion, fifty-five billion, six hundred five million, four hundred sixty-one thousand, six hundred seventeen".