13309775424 has 567 divisors, whose sum is σ = 46264601019. Its totient is φ = 3654858240.

The previous prime is 13309775419. The next prime is 13309775441. The reversal of 13309775424 is 42457790331.

The square root of 13309775424 is 115368.

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

13309775424 is a `hidden beast` number, since 1 + 3 + 30 + 9 + 77 + 542 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13309775424.

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 80 ways as a sum of consecutive naturals, for example, 578685877 + ... + 578685899.

Almost surely, 2^13309775424 is an apocalyptic number.

13309775424 is the 115368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13309775424

13309775424 is an abundant number, since it is smaller than the sum of its proper divisors (32954825595).

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

13309775424 is a wasteful number, since it uses less digits than its factorization.

13309775424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 13309775424 in words is "thirteen billion, three hundred nine million, seven hundred seventy-five thousand, four hundred twenty-four".