382535811873 has 36 divisors (see below), whose sum is σ = 574117280620. Its totient is φ = 245394800640.

The previous prime is 382535811859. The next prime is 382535811887. The reversal of 382535811873 is 378118535283.

382535811873 is a `hidden beast` number, since 3 + 8 + 2 + 53 + 581 + 1 + 8 + 7 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (382535811859) and next prime (382535811887).

It can be written as a sum of positive squares in 6 ways, for example, as 12253825809 + 370281986064 = 110697^2 + 608508^2 .

It is not a de Polignac number, because 382535811873 - 2¹³ = 382535803681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (382535811473) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 931233 + ... + 1277601.

Almost surely, 2^382535811873 is an apocalyptic number.

It is an amenable number.

382535811873 is a deficient number, since it is larger than the sum of its proper divisors (191581468747).

382535811873 is a wasteful number, since it uses less digits than its factorization.

382535811873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346530 (or 346486 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 382535811873 in words is "three hundred eighty-two billion, five hundred thirty-five million, eight hundred eleven thousand, eight hundred seventy-three".