2561632752052 has 18 divisors (see below), whose sum is σ = 4927438207874. Its totient is φ = 1164378523440.

The previous prime is 2561632752043. The next prime is 2561632752101. The reversal of 2561632752052 is 2502572361652.

2561632752052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2373090954256 + 188541797796 = 1540484^2 + 434214^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2561632751993 and 2561632752011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2646314343 + ... + 2646315310.

Almost surely, 2^{2561632752052} is an apocalyptic number.

2561632752052 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2561632752052 is a deficient number, since it is larger than the sum of its proper divisors (2365805455822).

2561632752052 is a wasteful number, since it uses less digits than its factorization.

2561632752052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5292629679 (or 5292629666 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 46.

The spelling of 2561632752052 in words is "two trillion, five hundred sixty-one billion, six hundred thirty-two million, seven hundred fifty-two thousand, fifty-two".