5566005616001 has 2 divisors, whose sum is σ = 5566005616002. Its totient is φ = 5566005616000.

The previous prime is 5566005615997. The next prime is 5566005616027. The reversal of 5566005616001 is 1006165006655.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5367673446976 + 198332169025 = 2316824^2 + 445345^2 .

It is a cyclic number.

It is not a de Polignac number, because 5566005616001 - 2² = 5566005615997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 5566005616001.

It is not a weakly prime, because it can be changed into another prime (5566005616051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2783002808000 + 2783002808001.

It is an arithmetic number, because the mean of its divisors is an integer number (2783002808001).

Almost surely, 2^{5566005616001} is an apocalyptic number.

It is an amenable number.

5566005616001 is a deficient number, since it is larger than the sum of its proper divisors (1).

5566005616001 is an equidigital number, since it uses as much as digits as its factorization.

5566005616001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162000, while the sum is 41.

The spelling of 5566005616001 in words is "five trillion, five hundred sixty-six billion, five million, six hundred sixteen thousand, one".