2559556601 has 24 divisors (see below), whose sum is σ = 3156587496. Its totient is φ = 2062233600.

The previous prime is 2559556547. The next prime is 2559556661. The reversal of 2559556601 is 1066559552.

It can be written as a sum of positive squares in 4 ways, for example, as 452838400 + 2106718201 = 21280^2 + 45899^2 .

It is not a de Polignac number, because 2559556601 - 2⁶ = 2559556537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2559556661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 912401 + ... + 915201.

It is an arithmetic number, because the mean of its divisors is an integer number (131524479).

Almost surely, 2^2559556601 is an apocalyptic number.

It is an amenable number.

2559556601 is a deficient number, since it is larger than the sum of its proper divisors (597030895).

2559556601 is a wasteful number, since it uses less digits than its factorization.

2559556601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3929 (or 3922 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 44.

The square root of 2559556601 is about 50592.0606518454. The cubic root of 2559556601 is about 1367.9017734452.

The spelling of 2559556601 in words is "two billion, five hundred fifty-nine million, five hundred fifty-six thousand, six hundred one".