513828315 has 288 divisors, whose sum is σ = 1296667008. Its totient is φ = 182476800.

The previous prime is 513828313. The next prime is 513828331.

513828315 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 513828315 - 2¹ = 513828313 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 513828315.

It is not an unprimeable number, because it can be changed into a prime (513828311) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8423385 + ... + 8423445.

It is an arithmetic number, because the mean of its divisors is an integer number (4502316).

Almost surely, 2^513828315 is an apocalyptic number.

513828315 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

513828315 is an abundant number, since it is smaller than the sum of its proper divisors (782838693).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513828315 is a wasteful number, since it uses less digits than its factorization.

513828315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 117 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 513828315 is about 22667.7814309208. The cubic root of 513828315 is about 800.9511161702.

It can be divided in two parts, 513 and 828315, that added together give a palindrome (828828).

The spelling of 513828315 in words is "five hundred thirteen million, eight hundred twenty-eight thousand, three hundred fifteen".