2561358011629 has 2 divisors, whose sum is σ = 2561358011630. Its totient is φ = 2561358011628.

The previous prime is 2561358011447. The next prime is 2561358011651. The reversal of 2561358011629 is 9261108531652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2439750280900 + 121607730729 = 1561970^2 + 348723^2 .

It is a cyclic number.

It is not a de Polignac number, because 2561358011629 - 2³⁷ = 2423919058157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2561358081629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1280679005814 + 1280679005815.

It is an arithmetic number, because the mean of its divisors is an integer number (1280679005815).

Almost surely, 2^{2561358011629} is an apocalyptic number.

It is an amenable number.

2561358011629 is a deficient number, since it is larger than the sum of its proper divisors (1).

2561358011629 is an equidigital number, since it uses as much as digits as its factorization.

2561358011629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 777600, while the sum is 49.

The spelling of 2561358011629 in words is "two trillion, five hundred sixty-one billion, three hundred fifty-eight million, eleven thousand, six hundred twenty-nine".