2561606753 has 2 divisors, whose sum is σ = 2561606754. Its totient is φ = 2561606752.

The previous prime is 2561606741. The next prime is 2561606813. The reversal of 2561606753 is 3576061652.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2554594849 + 7011904 = 50543^2 + 2648^2 .

It is a cyclic number.

It is not a de Polignac number, because 2561606753 - 2¹² = 2561602657 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2561606753.

It is not a weakly prime, because it can be changed into another prime (2561600753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1280803376 + 1280803377.

It is an arithmetic number, because the mean of its divisors is an integer number (1280803377).

Almost surely, 2^2561606753 is an apocalyptic number.

It is an amenable number.

2561606753 is a deficient number, since it is larger than the sum of its proper divisors (1).

2561606753 is an equidigital number, since it uses as much as digits as its factorization.

2561606753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 226800, while the sum is 41.

The square root of 2561606753 is about 50612.3181942894. The cubic root of 2561606753 is about 1368.2668963381.

The spelling of 2561606753 in words is "two billion, five hundred sixty-one million, six hundred six thousand, seven hundred fifty-three".