513838325 has 48 divisors (see below), whose sum is σ = 855528576. Its totient is φ = 295660800.

The previous prime is 513838307. The next prime is 513838333. The reversal of 513838325 is 523838315.

It is not a de Polignac number, because 513838325 - 2¹² = 513834229 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14759 + ... + 35291.

It is an arithmetic number, because the mean of its divisors is an integer number (17823512).

Almost surely, 2^513838325 is an apocalyptic number.

513838325 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

513838325 is a deficient number, since it is larger than the sum of its proper divisors (341690251).

513838325 is a wasteful number, since it uses less digits than its factorization.

513838325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20574 (or 20569 counting only the distinct ones).

The product of its digits is 86400, while the sum is 38.

The square root of 513838325 is about 22668.0022278100. The cubic root of 513838325 is about 800.9563173035.

It can be divided in two parts, 513 and 838325, that added together give a palindrome (838838).

The spelling of 513838325 in words is "five hundred thirteen million, eight hundred thirty-eight thousand, three hundred twenty-five".