2566541101 has 2 divisors, whose sum is σ = 2566541102. Its totient is φ = 2566541100.

The previous prime is 2566541077. The next prime is 2566541143. The reversal of 2566541101 is 1011456652.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1842984900 + 723556201 = 42930^2 + 26899^2 .

It is a cyclic number.

It is not a de Polignac number, because 2566541101 - 2⁷ = 2566540973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2566541191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1283270550 + 1283270551.

It is an arithmetic number, because the mean of its divisors is an integer number (1283270551).

Almost surely, 2^2566541101 is an apocalyptic number.

It is an amenable number.

2566541101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2566541101 is an equidigital number, since it uses as much as digits as its factorization.

2566541101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 2566541101 is about 50661.0412545972. The cubic root of 2566541101 is about 1369.1448836370.

Adding to 2566541101 its reverse (1011456652), we get a palindrome (3577997753).

It can be divided in two parts, 25665 and 41101, that added together give a palindrome (66766).

The spelling of 2566541101 in words is "two billion, five hundred sixty-six million, five hundred forty-one thousand, one hundred one".