2583332325 has 192 divisors, whose sum is σ = 5946048000. Its totient is φ = 1072189440.

The previous prime is 2583332317. The next prime is 2583332327. The reversal of 2583332325 is 5232333852.

2583332325 is a `hidden beast` number, since 2 + 583 + 33 + 23 + 25 = 666.

It is not a de Polignac number, because 2583332325 - 2³ = 2583332317 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2583332325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2583332327) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2328871 + ... + 2329979.

It is an arithmetic number, because the mean of its divisors is an integer number (30969000).

Almost surely, 2^2583332325 is an apocalyptic number.

2583332325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2583332325 is an abundant number, since it is smaller than the sum of its proper divisors (3362715675).

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

2583332325 is a wasteful number, since it uses less digits than its factorization.

2583332325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1170 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 2583332325 is about 50826.4923538896. The cubic root of 2583332325 is about 1372.1242065911.

The spelling of 2583332325 in words is "two billion, five hundred eighty-three million, three hundred thirty-two thousand, three hundred twenty-five".