382725444527283 has 32 divisors (see below), whose sum is σ = 602155013951232. Its totient is φ = 213168911472000.

The previous prime is 382725444527177. The next prime is 382725444527287.

382725444527283 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 382725444527283 - 2⁴⁵ = 347541072438451 is a prime.

It is not an unprimeable number, because it can be changed into a prime (382725444527287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1964955268 + ... + 1965150033.

It is an arithmetic number, because the mean of its divisors is an integer number (18817344185976).

Almost surely, 2^{382725444527283} is an apocalyptic number.

382725444527283 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

382725444527283 is a deficient number, since it is larger than the sum of its proper divisors (219429569423949).

382725444527283 is a wasteful number, since it uses less digits than its factorization.

382725444527283 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3930105555.

The product of its digits is 722534400, while the sum is 66.

The spelling of 382725444527283 in words is "three hundred eighty-two trillion, seven hundred twenty-five billion, four hundred forty-four million, five hundred twenty-seven thousand, two hundred eighty-three".