25513124100 has 144 divisors (see below), whose sum is σ = 77805645120. Its totient is φ = 6444838400.

The previous prime is 25513124033. The next prime is 25513124101. The reversal of 25513124100 is 142131552.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (25513124101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 433435 + ... + 488765.

It is an arithmetic number, because the mean of its divisors is an integer number (540316980).

Almost surely, 2^25513124100 is an apocalyptic number.

25513124100 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 25513124100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38902822560).

25513124100 is an abundant number, since it is smaller than the sum of its proper divisors (52292521020).

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

25513124100 is a wasteful number, since it uses less digits than its factorization.

25513124100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55430 (or 55423 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 25513124100 its reverse (142131552), we get a palindrome (25655255652).

The spelling of 25513124100 in words is "twenty-five billion, five hundred thirteen million, one hundred twenty-four thousand, one hundred".