2565335652 has 48 divisors (see below), whose sum is σ = 6706443072. Its totient is φ = 756362880.

The previous prime is 2565335651. The next prime is 2565335693.

2565335652 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2565335651) 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 15 ways as a sum of consecutive naturals, for example, 257743 + ... + 267510.

It is an arithmetic number, because the mean of its divisors is an integer number (139717564).

Almost surely, 2^2565335652 is an apocalyptic number.

2565335652 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2565335652 is an abundant number, since it is smaller than the sum of its proper divisors (4141107420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2565335652 is a wasteful number, since it uses less digits than its factorization.

2565335652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525308 (or 525306 counting only the distinct ones).

The product of its digits is 810000, while the sum is 42.

The square root of 2565335652 is about 50649.1426580944. The cubic root of 2565335652 is about 1368.9304974619.

The spelling of 2565335652 in words is "two billion, five hundred sixty-five million, three hundred thirty-five thousand, six hundred fifty-two".