513072828 has 18 divisors (see below), whose sum is σ = 1296934184. Its totient is φ = 171024264.

The previous prime is 513072817. The next prime is 513072841. The reversal of 513072828 is 828270315.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 14252023 = 513072828 / (5 + 1 + 3 + 0 + 7 + 2 + 8 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 513072792 and 513072801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7125976 + ... + 7126047.

Almost surely, 2^513072828 is an apocalyptic number.

It is an amenable number.

513072828 is an abundant number, since it is smaller than the sum of its proper divisors (783861356).

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

513072828 is a wasteful number, since it uses less digits than its factorization.

513072828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14252033 (or 14252028 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 513072828 is about 22651.1109661314. The cubic root of 513072828 is about 800.5583747647.

The spelling of 513072828 in words is "five hundred thirteen million, seventy-two thousand, eight hundred twenty-eight".