13261825600 has 63 divisors (see below), whose sum is σ = 32643718177. Its totient is φ = 5302887680.

The previous prime is 13261825589. The next prime is 13261825631. The reversal of 13261825600 is 652816231.

The square root of 13261825600 is 115160.

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., 4774257216 + 8487568384 = 69096^2 + 92128^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4604961 + ... + 4607839.

Almost surely, 2^13261825600 is an apocalyptic number.

13261825600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13261825600 is the 115160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13261825600

13261825600 is an abundant number, since it is smaller than the sum of its proper divisors (19381892577).

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

13261825600 is an frugal number, since it uses more digits than its factorization.

13261825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5780 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 13261825600 in words is "thirteen billion, two hundred sixty-one million, eight hundred twenty-five thousand, six hundred".