13001472576 has 63 divisors (see below), whose sum is σ = 37274219203. Its totient is φ = 4332912000.

The previous prime is 13001472569. The next prime is 13001472577. The reversal of 13001472576 is 67527410031.

It is a happy number.

The square root of 13001472576 is 114024.

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

13001472576 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 14 + 72 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 13001472576.

It is not an unprimeable number, because it can be changed into a prime (13001472577) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2734201 + ... + 2738951.

Almost surely, 2^13001472576 is an apocalyptic number.

13001472576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13001472576 is the 114024-th square number.

It is an amenable number.

13001472576 is an abundant number, since it is smaller than the sum of its proper divisors (24272746627).

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

13001472576 is an frugal number, since it uses more digits than its factorization.

13001472576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9520 (or 4756 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

Multiplying 13001472576 by its sum of digits (36), we get a square (468053012736 = 684144²).

13001472576 divided by its sum of digits (36) gives a square (361152016 = 19004²).

The spelling of 13001472576 in words is "thirteen billion, one million, four hundred seventy-two thousand, five hundred seventy-six".