382753565357283 has 12 divisors (see below), whose sum is σ = 559078241534280. Its totient is φ = 252301975665696.

The previous prime is 382753565357197. The next prime is 382753565357309.

382753565357283 is a `hidden beast` number, since 3 + 8 + 2 + 7 + 5 + 3 + 5 + 6 + 535 + 7 + 2 + 83 = 666.

382753565357283 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 382753565357283 - 2²² = 382753561162979 is a prime.

It is a super-2 number, since 2×382753565357283² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (382753565357483) 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 11 ways as a sum of consecutive naturals, for example, 238922324641 + ... + 238922326242.

It is an arithmetic number, because the mean of its divisors is an integer number (46589853461190).

Almost surely, 2^{382753565357283} is an apocalyptic number.

382753565357283 is a deficient number, since it is larger than the sum of its proper divisors (176324676176997).

382753565357283 is a wasteful number, since it uses less digits than its factorization.

382753565357283 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477844650978 (or 477844650975 counting only the distinct ones).

The product of its digits is 3810240000, while the sum is 72.

The spelling of 382753565357283 in words is "three hundred eighty-two trillion, seven hundred fifty-three billion, five hundred sixty-five million, three hundred fifty-seven thousand, two hundred eighty-three".