513347328 has 288 divisors, whose sum is σ = 1699790400. Its totient is φ = 151732224.

The previous prime is 513347311. The next prime is 513347389. The reversal of 513347328 is 823743315.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 513347292 and 513347301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2605726 + ... + 2605922.

It is an arithmetic number, because the mean of its divisors is an integer number (5902050).

Almost surely, 2^513347328 is an apocalyptic number.

513347328 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513347328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849895200).

513347328 is an abundant number, since it is smaller than the sum of its proper divisors (1186443072).

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

513347328 is a wasteful number, since it uses less digits than its factorization.

513347328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 244 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 513347328 is about 22657.1694613427. The cubic root of 513347328 is about 800.7011186945.

The spelling of 513347328 in words is "five hundred thirteen million, three hundred forty-seven thousand, three hundred twenty-eight".