13230520576 has 243 divisors, whose sum is σ = 33692453361. Its totient is φ = 5167798272.

The previous prime is 13230520559. The next prime is 13230520651. The reversal of 13230520576 is 67502503231.

The square root of 13230520576 is 115024.

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., 1957177600 + 11273342976 = 44240^2 + 106176^2 .

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 167474905 + ... + 167474983.

Almost surely, 2^13230520576 is an apocalyptic number.

13230520576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13230520576 is the 115024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13230520576

13230520576 is an abundant number, since it is smaller than the sum of its proper divisors (20461932785).

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

13230520576 is an frugal number, since it uses more digits than its factorization.

13230520576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 34.

It can be divided in two parts, 132305 and 20576, that added together give a square (152881 = 391²).

The spelling of 13230520576 in words is "thirteen billion, two hundred thirty million, five hundred twenty thousand, five hundred seventy-six".