2555106561 has 24 divisors (see below), whose sum is σ = 4219392320. Its totient is φ = 1459562976.

The previous prime is 2555106551. The next prime is 2555106577. The reversal of 2555106561 is 1656015552.

2555106561 is a `hidden beast` number, since 25 + 5 + 510 + 65 + 61 = 666.

It is not a de Polignac number, because 2555106561 - 2⁶ = 2555106497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2555106551) 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 in 23 ways as a sum of consecutive naturals, for example, 260991 + ... + 270603.

Almost surely, 2^2555106561 is an apocalyptic number.

2555106561 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2555106561 is a deficient number, since it is larger than the sum of its proper divisors (1664285759).

2555106561 is a wasteful number, since it uses less digits than its factorization.

2555106561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13845 (or 13842 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The square root of 2555106561 is about 50548.0618916294. The cubic root of 2555106561 is about 1367.1085698153.

The spelling of 2555106561 in words is "two billion, five hundred fifty-five million, one hundred six thousand, five hundred sixty-one".