2565233216241 has 48 divisors (see below), whose sum is σ = 3764488660800. Its totient is φ = 1549368729216.

The previous prime is 2565233216233. The next prime is 2565233216263. The reversal of 2565233216241 is 1426123325652.

It is not a de Polignac number, because 2565233216241 - 2³ = 2565233216233 is a prime.

It is a super-2 number, since 2×2565233216241² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2565233216193 and 2565233216202.

It is not an unprimeable number, because it can be changed into a prime (2565233216291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254154591 + ... + 254164683.

It is an arithmetic number, because the mean of its divisors is an integer number (78426847100).

Almost surely, 2^{2565233216241} is an apocalyptic number.

It is an amenable number.

2565233216241 is a deficient number, since it is larger than the sum of its proper divisors (1199255444559).

2565233216241 is a wasteful number, since it uses less digits than its factorization.

2565233216241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18590 (or 18567 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The spelling of 2565233216241 in words is "two trillion, five hundred sixty-five billion, two hundred thirty-three million, two hundred sixteen thousand, two hundred forty-one".