382481260825 has 48 divisors (see below), whose sum is σ = 502375345920. Its totient is φ = 288064192320.

The previous prime is 382481260771. The next prime is 382481260879. The reversal of 382481260825 is 528062184283.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (382481260771) and next prime (382481260879).

It is not a de Polignac number, because 382481260825 - 2¹¹ = 382481258777 is a prime.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 63290254 + ... + 63296296.

It is an arithmetic number, because the mean of its divisors is an integer number (10466153040).

Almost surely, 2^382481260825 is an apocalyptic number.

It is an amenable number.

382481260825 is a deficient number, since it is larger than the sum of its proper divisors (119894085095).

382481260825 is a wasteful number, since it uses less digits than its factorization.

382481260825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6886 (or 6881 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 49.

The spelling of 382481260825 in words is "three hundred eighty-two billion, four hundred eighty-one million, two hundred sixty thousand, eight hundred twenty-five".