385513 has 4 divisors (see below), whose sum is σ = 390868. Its totient is φ = 380160.

The previous prime is 385501. The next prime is 385519. The reversal of 385513 is 315583.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 315583 = 23 ⋅13721.

It can be written as a sum of positive squares in 2 ways, for example, as 127449 + 258064 = 357^2 + 508^2 .

It is a cyclic number.

It is not a de Polignac number, because 385513 - 2⁵ = 385481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (385519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2568 + ... + 2713.

It is an arithmetic number, because the mean of its divisors is an integer number (97717).

2³⁸⁵⁵¹³ is an apocalyptic number.

It is an amenable number.

385513 is a deficient number, since it is larger than the sum of its proper divisors (5355).

385513 is an equidigital number, since it uses as much as digits as its factorization.

385513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5354.

The product of its digits is 1800, while the sum is 25.

The square root of 385513 is about 620.8969318655. The cubic root of 385513 is about 72.7801605360.

It can be divided in two parts, 385 and 513, that added together give a palindrome (898).

The spelling of 385513 in words is "three hundred eighty-five thousand, five hundred thirteen".