2561266516033 has 2 divisors, whose sum is σ = 2561266516034. Its totient is φ = 2561266516032.

The previous prime is 2561266515959. The next prime is 2561266516037. The reversal of 2561266516033 is 3306156621652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1658781715969 + 902484800064 = 1287937^2 + 949992^2 .

It is a cyclic number.

It is not a de Polignac number, because 2561266516033 - 2²⁵ = 2561232961601 is a prime.

It is not a weakly prime, because it can be changed into another prime (2561266516037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1280633258016 + 1280633258017.

It is an arithmetic number, because the mean of its divisors is an integer number (1280633258017).

Almost surely, 2^{2561266516033} is an apocalyptic number.

It is an amenable number.

2561266516033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2561266516033 is an equidigital number, since it uses as much as digits as its factorization.

2561266516033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1166400, while the sum is 46.

The spelling of 2561266516033 in words is "two trillion, five hundred sixty-one billion, two hundred sixty-six million, five hundred sixteen thousand, thirty-three".