2581634025 has 120 divisors (see below), whose sum is σ = 5331221280. Its totient is φ = 1227363840.

The previous prime is 2581634021. The next prime is 2581634071. The reversal of 2581634025 is 5204361852.

It is not a de Polignac number, because 2581634025 - 2² = 2581634021 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2581634021) 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 119 ways as a sum of consecutive naturals, for example, 652102 + ... + 656048.

It is an arithmetic number, because the mean of its divisors is an integer number (44426844).

Almost surely, 2^2581634025 is an apocalyptic number.

2581634025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2581634025 is an abundant number, since it is smaller than the sum of its proper divisors (2749587255).

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

2581634025 is a wasteful number, since it uses less digits than its factorization.

2581634025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4005 (or 3991 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2581634025 is about 50809.7827686756. The cubic root of 2581634025 is about 1371.8234594578.

Adding to 2581634025 its reverse (5204361852), we get a palindrome (7785995877).

The spelling of 2581634025 in words is "two billion, five hundred eighty-one million, six hundred thirty-four thousand, twenty-five".