2565445652 has 48 divisors (see below), whose sum is σ = 5652823680. Its totient is φ = 989616000.

The previous prime is 2565445651. The next prime is 2565445709.

2565445652 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2565445652² = 13163022786731410208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2565445651) 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 15 ways as a sum of consecutive naturals, for example, 10127 + ... + 72342.

It is an arithmetic number, because the mean of its divisors is an integer number (117767160).

Almost surely, 2^2565445652 is an apocalyptic number.

2565445652 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2565445652 is an abundant number, since it is smaller than the sum of its proper divisors (3087378028).

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

2565445652 is a wasteful number, since it uses less digits than its factorization.

2565445652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82592 (or 82590 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 44.

The square root of 2565445652 is about 50650.2285483491. The cubic root of 2565445652 is about 1368.9500634788.

The spelling of 2565445652 in words is "two billion, five hundred sixty-five million, four hundred forty-five thousand, six hundred fifty-two".