25132133324100 has 144 divisors (see below), whose sum is σ = 79333842309120. Its totient is φ = 6092047708800.

The previous prime is 25132133324099. The next prime is 25132133324149. The reversal of 25132133324100 is 142333123152.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34163961 + ... + 34891839.

It is an arithmetic number, because the mean of its divisors is an integer number (550929460480).

Almost surely, 2^{25132133324100} is an apocalyptic number.

25132133324100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25132133324100 is an abundant number, since it is smaller than the sum of its proper divisors (54201708985020).

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

25132133324100 is a wasteful number, since it uses less digits than its factorization.

25132133324100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738370 (or 738363 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 25132133324100 its reverse (142333123152), we get a palindrome (25274466447252).

The spelling of 25132133324100 in words is "twenty-five trillion, one hundred thirty-two billion, one hundred thirty-three million, three hundred twenty-four thousand, one hundred".