513828065 has 16 divisors (see below), whose sum is σ = 642193920. Its totient is φ = 394309440.

The previous prime is 513828041. The next prime is 513828083. The reversal of 513828065 is 560828315.

It is not a de Polignac number, because 513828065 - 2¹⁴ = 513811681 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6425 + ... + 32694.

It is an arithmetic number, because the mean of its divisors is an integer number (40137120).

Almost surely, 2^513828065 is an apocalyptic number.

It is an amenable number.

513828065 is a deficient number, since it is larger than the sum of its proper divisors (128365855).

513828065 is a wasteful number, since it uses less digits than its factorization.

513828065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39232.

The product of its (nonzero) digits is 57600, while the sum is 38.

The square root of 513828065 is about 22667.7759164855. The cubic root of 513828065 is about 800.9509862709.

The spelling of 513828065 in words is "five hundred thirteen million, eight hundred twenty-eight thousand, sixty-five".