2565084932500 has 120 divisors (see below), whose sum is σ = 5627232959040. Its totient is φ = 1022765280000.

The previous prime is 2565084932497. The next prime is 2565084932521. The reversal of 2565084932500 is 52394805652.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1697606745 + ... + 1697608255.

It is an arithmetic number, because the mean of its divisors is an integer number (46893607992).

Almost surely, 2^{2565084932500} is an apocalyptic number.

2565084932500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2565084932500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813616479520).

2565084932500 is an abundant number, since it is smaller than the sum of its proper divisors (3062148026540).

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

2565084932500 is a wasteful number, since it uses less digits than its factorization.

2565084932500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3251 (or 3234 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 49.

The spelling of 2565084932500 in words is "two trillion, five hundred sixty-five billion, eighty-four million, nine hundred thirty-two thousand, five hundred".