513728567 has 8 divisors (see below), whose sum is σ = 563871360. Its totient is φ = 464159160.

The previous prime is 513728563. The next prime is 513728569. The reversal of 513728567 is 765827315.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 513728567 - 2² = 513728563 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513728561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141467 + ... + 145052.

It is an arithmetic number, because the mean of its divisors is an integer number (70483920).

Almost surely, 2^513728567 is an apocalyptic number.

513728567 is a deficient number, since it is larger than the sum of its proper divisors (50142793).

513728567 is a wasteful number, since it uses less digits than its factorization.

513728567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286693.

The product of its digits is 352800, while the sum is 44.

The square root of 513728567 is about 22665.5811088090. The cubic root of 513728567 is about 800.8992840440.

The spelling of 513728567 in words is "five hundred thirteen million, seven hundred twenty-eight thousand, five hundred sixty-seven".