2563559901 has 48 divisors (see below), whose sum is σ = 4426793280. Its totient is φ = 1461952800.

The previous prime is 2563559861. The next prime is 2563559927. The reversal of 2563559901 is 1099553652.

2563559901 is a `hidden beast` number, since 2 + 5 + 6 + 3 + 559 + 90 + 1 = 666.

It is not a de Polignac number, because 2563559901 - 2¹¹ = 2563557853 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2563559981) 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 47 ways as a sum of consecutive naturals, for example, 774951 + ... + 778251.

It is an arithmetic number, because the mean of its divisors is an integer number (92224860).

Almost surely, 2^2563559901 is an apocalyptic number.

2563559901 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2563559901 is a deficient number, since it is larger than the sum of its proper divisors (1863233379).

2563559901 is a wasteful number, since it uses less digits than its factorization.

2563559901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3911 (or 3898 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 45.

The square root of 2563559901 is about 50631.6097018453. The cubic root of 2563559901 is about 1368.6145620914.

It can be divided in two parts, 256355 and 9901, that added together give a square (266256 = 516²).

The spelling of 2563559901 in words is "two billion, five hundred sixty-three million, five hundred fifty-nine thousand, nine hundred one".