13025305800 has 288 divisors, whose sum is σ = 47330173800. Its totient is φ = 3191132160.

The previous prime is 13025305763. The next prime is 13025305807. The reversal of 13025305800 is 850352031.

13025305800 is a `hidden beast` number, since 1 + 30 + 2 + 53 + 0 + 580 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 782768484 + 12242537316 = 27978^2 + 110646^2 .

It is a super-3 number, since 3×13025305800³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13025305807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5451006 + ... + 5453394.

Almost surely, 2^13025305800 is an apocalyptic number.

13025305800 is a gapful number since it is divisible by the number (10) 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 13025305800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23665086900).

13025305800 is an abundant number, since it is smaller than the sum of its proper divisors (34304868000).

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

13025305800 is a wasteful number, since it uses less digits than its factorization.

13025305800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2657 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 13025305800 its reverse (850352031), we get a palindrome (13875657831).

The spelling of 13025305800 in words is "thirteen billion, twenty-five million, three hundred five thousand, eight hundred".