513251328 has 48 divisors (see below), whose sum is σ = 1368352440. Its totient is φ = 171081728.

The previous prime is 513251317. The next prime is 513251329. The reversal of 513251328 is 823152315.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 513251295 and 513251304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513251329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35625 + ... + 47912.

Almost surely, 2^513251328 is an apocalyptic number.

It is an amenable number.

513251328 is an abundant number, since it is smaller than the sum of its proper divisors (855101112).

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

513251328 is an equidigital number, since it uses as much as digits as its factorization.

513251328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83562 (or 83542 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

The square root of 513251328 is about 22655.0508275749. The cubic root of 513251328 is about 800.6512031076.

The spelling of 513251328 in words is "five hundred thirteen million, two hundred fifty-one thousand, three hundred twenty-eight".