382105713609 has 15 divisors (see below), whose sum is σ = 570808203933. Its totient is φ = 254733433524.

The previous prime is 382105713601. The next prime is 382105713629. The reversal of 382105713609 is 906317501283.

The square root of 382105713609 is 618147.

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

382105713609 is a `hidden beast` number, since 3 + 8 + 2 + 10 + 571 + 3 + 60 + 9 = 666.

It is not a de Polignac number, because 382105713609 - 2³ = 382105713601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (382105713601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5528982 + ... + 5597664.

Almost surely, 2^382105713609 is an apocalyptic number.

382105713609 is the 618147-th square number.

382105713609 is the 309074-th centered octagonal number.

It is an amenable number.

382105713609 is a deficient number, since it is larger than the sum of its proper divisors (188702490324).

382105713609 is an frugal number, since it uses more digits than its factorization.

382105713609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137378 (or 68686 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 382105713609 in words is "three hundred eighty-two billion, one hundred five million, seven hundred thirteen thousand, six hundred nine".