2565172128 has 96 divisors (see below), whose sum is σ = 6967683072. Its totient is φ = 825465600.

The previous prime is 2565172111. The next prime is 2565172153. The reversal of 2565172128 is 8212715652.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1674723 + ... + 1676253.

It is an arithmetic number, because the mean of its divisors is an integer number (72580032).

Almost surely, 2^2565172128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2565172128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483841536).

2565172128 is an abundant number, since it is smaller than the sum of its proper divisors (4402510944).

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

2565172128 is a wasteful number, since it uses less digits than its factorization.

2565172128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2130 counting only the distinct ones).

The product of its digits is 67200, while the sum is 39.

The square root of 2565172128 is about 50647.5283503549. The cubic root of 2565172128 is about 1368.9014099431.

It can be divided in two parts, 25651 and 72128, that added together give a palindrome (97779).

The spelling of 2565172128 in words is "two billion, five hundred sixty-five million, one hundred seventy-two thousand, one hundred twenty-eight".