2561225000 has 96 divisors (see below), whose sum is σ = 6118905240. Its totient is φ = 1004640000.

The previous prime is 2561224973. The next prime is 2561225041. The reversal of 2561225000 is 5221652.

It can be written as a sum of positive squares in 12 ways, for example, as 678185764 + 1883039236 = 26042^2 + 43394^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1324034 + ... + 1325966.

Almost surely, 2^2561225000 is an apocalyptic number.

2561225000 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 2561225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3059452620).

2561225000 is an abundant number, since it is smaller than the sum of its proper divisors (3557680240).

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

2561225000 is an equidigital number, since it uses as much as digits as its factorization.

2561225000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2017 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 2561225000 is about 50608.5467090293. The cubic root of 2561225000 is about 1368.1989226023.

Adding to 2561225000 its reverse (5221652), we get a palindrome (2566446652).

The spelling of 2561225000 in words is "two billion, five hundred sixty-one million, two hundred twenty-five thousand".