385575575583 has 64 divisors (see below), whose sum is σ = 584600813568. Its totient is φ = 223938000000.

The previous prime is 385575575563. The next prime is 385575575687.

385575575583 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 385575575583 - 2⁹ = 385575575071 is a prime.

It is a super-3 number, since 3×385575575583³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385575575563) 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 63 ways as a sum of consecutive naturals, for example, 51126793 + ... + 51134333.

It is an arithmetic number, because the mean of its divisors is an integer number (9134387712).

Almost surely, 2^385575575583 is an apocalyptic number.

385575575583 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

385575575583 is a deficient number, since it is larger than the sum of its proper divisors (199025237985).

385575575583 is a wasteful number, since it uses less digits than its factorization.

385575575583 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8068.

The product of its digits is 441000000, while the sum is 66.

The spelling of 385575575583 in words is "three hundred eighty-five billion, five hundred seventy-five million, five hundred seventy-five thousand, five hundred eighty-three".