25133130000 has 600 divisors, whose sum is σ = 97897662720. Its totient is φ = 5965440000.

The previous prime is 25133129993. The next prime is 25133130017. The reversal of 25133130000 is 3133152.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 52469761 + ... + 52470239.

Almost surely, 2^25133130000 is an apocalyptic number.

25133130000 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 25133130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48948831360).

25133130000 is an abundant number, since it is smaller than the sum of its proper divisors (72764532720).

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

25133130000 is a wasteful number, since it uses less digits than its factorization.

25133130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

Adding to 25133130000 its reverse (3133152), we get a palindrome (25136263152).

The spelling of 25133130000 in words is "twenty-five billion, one hundred thirty-three million, one hundred thirty thousand".