513688523 has 8 divisors (see below), whose sum is σ = 515721360. Its totient is φ = 511660800.

The previous prime is 513688481. The next prime is 513688529. The reversal of 513688523 is 325886315.

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 513688523 - 2⁸ = 513688267 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513688529) 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, 395411 + ... + 396707.

It is an arithmetic number, because the mean of its divisors is an integer number (64465170).

Almost surely, 2^513688523 is an apocalyptic number.

513688523 is a deficient number, since it is larger than the sum of its proper divisors (2032837).

513688523 is a wasteful number, since it uses less digits than its factorization.

513688523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2557.

The product of its digits is 172800, while the sum is 41.

The square root of 513688523 is about 22664.6977257584. The cubic root of 513688523 is about 800.8784740636.

The spelling of 513688523 in words is "five hundred thirteen million, six hundred eighty-eight thousand, five hundred twenty-three".