2583325000 has 48 divisors (see below), whose sum is σ = 6054339060. Its totient is φ = 1033320000.

The previous prime is 2583324977. The next prime is 2583325009. The reversal of 2583325000 is 5233852.

2583325000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 30448324 + 2552876676 = 5518^2 + 50526^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2583325000.

It is not an unprimeable number, because it can be changed into a prime (2583325009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26667 + ... + 76666.

Almost surely, 2^2583325000 is an apocalyptic number.

2583325000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2583325000 is an abundant number, since it is smaller than the sum of its proper divisors (3471014060).

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

2583325000 is an equidigital number, since it uses as much as digits as its factorization.

2583325000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103364 (or 103340 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 2583325000 is about 50826.4202949608. The cubic root of 2583325000 is about 1372.1229097107.

Adding to 2583325000 its reverse (5233852), we get a palindrome (2588558852).

The spelling of 2583325000 in words is "two billion, five hundred eighty-three million, three hundred twenty-five thousand".