513903 has 8 divisors (see below), whose sum is σ = 737968. Its totient is φ = 316224.

The previous prime is 513899. The next prime is 513917. The reversal of 513903 is 309315.

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

It is not a de Polignac number, because 513903 - 2² = 513899 is a prime.

It is a Duffinian number.

513903 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 513903.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513903.

It is not an unprimeable number, because it can be changed into a prime (513923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6550 + ... + 6627.

It is an arithmetic number, because the mean of its divisors is an integer number (92246).

2⁵¹³⁹⁰³ is an apocalyptic number.

513903 is a deficient number, since it is larger than the sum of its proper divisors (224065).

513903 is a wasteful number, since it uses less digits than its factorization.

513903 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13193.

The product of its (nonzero) digits is 405, while the sum is 21.

The square root of 513903 is about 716.8702811527. The cubic root of 513903 is about 80.0989920400.

The spelling of 513903 in words is "five hundred thirteen thousand, nine hundred three".