13581571600 has 45 divisors (see below), whose sum is σ = 32635326477. Its totient is φ = 5431696320.

The previous prime is 13581571579. The next prime is 13581571607. The reversal of 13581571600 is 617518531.

The square root of 13581571600 is 116540.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4889365776 + 8692205824 = 69924^2 + 93232^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13581571600.

It is not an unprimeable number, because it can be changed into a prime (13581571607) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 2327887 + ... + 2333713.

Almost surely, 2^13581571600 is an apocalyptic number.

13581571600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13581571600 is the 116540-th square number.

It is an amenable number.

13581571600 is an abundant number, since it is smaller than the sum of its proper divisors (19053754877).

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

13581571600 is an frugal number, since it uses more digits than its factorization.

13581571600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11672 (or 5834 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 37.

The spelling of 13581571600 in words is "thirteen billion, five hundred eighty-one million, five hundred seventy-one thousand, six hundred".