513606528 has 128 divisors (see below), whose sum is σ = 1523757600. Its totient is φ = 170311680.

The previous prime is 513606497. The next prime is 513606547. The reversal of 513606528 is 825606315.

513606528 is a `hidden beast` number, since 513 + 60 + 65 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×513606528³ (a number of 27 digits) contains 333 as substring.

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 = 513606492 and 513606501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1219758 + ... + 1220178.

Almost surely, 2^513606528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513606528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761878800).

513606528 is an abundant number, since it is smaller than the sum of its proper divisors (1010151072).

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

513606528 is a wasteful number, since it uses less digits than its factorization.

513606528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 513606528 is about 22662.8887832068. Note that the first 3 decimals coincide. The cubic root of 513606528 is about 800.8358597024.

The spelling of 513606528 in words is "five hundred thirteen million, six hundred six thousand, five hundred twenty-eight".