2561577459 has 96 divisors (see below), whose sum is σ = 4500873216. Its totient is φ = 1284433920.

The previous prime is 2561577443. The next prime is 2561577481. The reversal of 2561577459 is 9547751652.

It is not a de Polignac number, because 2561577459 - 2⁴ = 2561577443 is a prime.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (2561377459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2356014 + ... + 2357100.

It is an arithmetic number, because the mean of its divisors is an integer number (46884096).

Almost surely, 2^2561577459 is an apocalyptic number.

2561577459 is a deficient number, since it is larger than the sum of its proper divisors (1939295757).

2561577459 is a wasteful number, since it uses less digits than its factorization.

2561577459 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1178 counting only the distinct ones).

The product of its digits is 2646000, while the sum is 51.

The square root of 2561577459 is about 50612.0287975102. The cubic root of 2561577459 is about 1368.2616805801.

The spelling of 2561577459 in words is "two billion, five hundred sixty-one million, five hundred seventy-seven thousand, four hundred fifty-nine".