2565106945555 has 24 divisors (see below), whose sum is σ = 3866739732576. Its totient is φ = 1599027703680.

The previous prime is 2565106945537. The next prime is 2565106945607. The reversal of 2565106945555 is 5555496015652.

It is a de Polignac number, because none of the positive numbers 2^k-2565106945555 is a prime.

It is a super-3 number, since 3×2565106945555³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2565106945555.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 302841922 + ... + 302850391.

It is an arithmetic number, because the mean of its divisors is an integer number (161114155524).

Almost surely, 2^{2565106945555} is an apocalyptic number.

2565106945555 is a deficient number, since it is larger than the sum of its proper divisors (1301632787021).

2565106945555 is a wasteful number, since it uses less digits than its factorization.

2565106945555 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605692347 (or 605692336 counting only the distinct ones).

The product of its (nonzero) digits is 40500000, while the sum is 58.

The spelling of 2565106945555 in words is "two trillion, five hundred sixty-five billion, one hundred six million, nine hundred forty-five thousand, five hundred fifty-five".