513678959 has 16 divisors (see below), whose sum is σ = 538010880. Its totient is φ = 489888000.

The previous prime is 513678947. The next prime is 513678961. The reversal of 513678959 is 959876315.

It is a cyclic number.

It is not a de Polignac number, because 513678959 - 2¹⁶ = 513613423 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 513678959.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513678929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 949229 + ... + 949769.

It is an arithmetic number, because the mean of its divisors is an integer number (33625680).

Almost surely, 2^513678959 is an apocalyptic number.

513678959 is a deficient number, since it is larger than the sum of its proper divisors (24331921).

513678959 is a wasteful number, since it uses less digits than its factorization.

513678959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962.

The product of its digits is 2041200, while the sum is 53.

The square root of 513678959 is about 22664.4867358606. The cubic root of 513678959 is about 800.8735037045.

The spelling of 513678959 in words is "five hundred thirteen million, six hundred seventy-eight thousand, nine hundred fifty-nine".