385513117 has 16 divisors (see below), whose sum is σ = 437059584. Its totient is φ = 336870000.

The previous prime is 385513111. The next prime is 385513133. The reversal of 385513117 is 711315583.

It is a cyclic number.

It is not a de Polignac number, because 385513117 - 2⁷ = 385512989 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385513111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47748 + ... + 55234.

It is an arithmetic number, because the mean of its divisors is an integer number (27316224).

Almost surely, 2^385513117 is an apocalyptic number.

It is an amenable number.

385513117 is a deficient number, since it is larger than the sum of its proper divisors (51546467).

385513117 is a wasteful number, since it uses less digits than its factorization.

385513117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7680.

The product of its digits is 12600, while the sum is 34.

The square root of 385513117 is about 19634.4879485053. The cubic root of 385513117 is about 727.8016789868.

It can be divided in two parts, 38 and 5513117, that added together give a palindrome (5513155).

The spelling of 385513117 in words is "three hundred eighty-five million, five hundred thirteen thousand, one hundred seventeen".