382875084153 has 24 divisors (see below), whose sum is σ = 558322633440. Its totient is φ = 252815875200.

The previous prime is 382875084127. The next prime is 382875084157. The reversal of 382875084153 is 351480578283.

382875084153 is a `hidden beast` number, since 3 + 8 + 2 + 87 + 508 + 4 + 1 + 53 = 666.

It is not a de Polignac number, because 382875084153 - 2¹⁸ = 382874822009 is a prime.

It is a super-3 number, since 3×382875084153³ (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 382875084153.

It is not an unprimeable number, because it can be changed into a prime (382875084157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1345938 + ... + 1605396.

It is an arithmetic number, because the mean of its divisors is an integer number (23263443060).

Almost surely, 2^382875084153 is an apocalyptic number.

It is an amenable number.

382875084153 is a deficient number, since it is larger than the sum of its proper divisors (175447549287).

382875084153 is a wasteful number, since it uses less digits than its factorization.

382875084153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261029 (or 261026 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 382875084153 in words is "three hundred eighty-two billion, eight hundred seventy-five million, eighty-four thousand, one hundred fifty-three".