388513 has 4 divisors (see below), whose sum is σ = 401940. Its totient is φ = 375088.

The previous prime is 388499. The next prime is 388519. The reversal of 388513 is 315883.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 88209 + 300304 = 297^2 + 548^2 .

It is a cyclic number.

It is not a de Polignac number, because 388513 - 2⁵ = 388481 is a prime.

388513 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388519) 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, 6670 + ... + 6727.

It is an arithmetic number, because the mean of its divisors is an integer number (100485).

2³⁸⁸⁵¹³ is an apocalyptic number.

It is an amenable number.

388513 is a deficient number, since it is larger than the sum of its proper divisors (13427).

388513 is a wasteful number, since it uses less digits than its factorization.

388513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13426.

The product of its digits is 2880, while the sum is 28.

The square root of 388513 is about 623.3081100066. The cubic root of 388513 is about 72.9684607610.

It can be divided in two parts, 3885 and 13, that multiplied together give a palindrome (50505).

The spelling of 388513 in words is "three hundred eighty-eight thousand, five hundred thirteen".