503688249 has 9 divisors (see below), whose sum is σ = 727646959. Its totient is φ = 335747280.

The previous prime is 503688193. The next prime is 503688253. The reversal of 503688249 is 942886305.

The square root of 503688249 is 22443.

It is a perfect power (a square), and thus also a powerful number.

503688249 is a `hidden beast` number, since 503 + 68 + 82 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 437102649 + 66585600 = 20907^2 + 8160^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 503688249 - 2¹⁷ = 503557177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (503688349) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 63589 + ... + 71069.

Almost surely, 2^503688249 is an apocalyptic number.

503688249 is the 22443-rd square number.

503688249 is the 11222-nd centered octagonal number.

It is an amenable number.

503688249 is a deficient number, since it is larger than the sum of its proper divisors (223958710).

503688249 is an frugal number, since it uses more digits than its factorization.

503688249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14968 (or 7484 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The cubic root of 503688249 is about 795.6473237329.

The spelling of 503688249 in words is "five hundred three million, six hundred eighty-eight thousand, two hundred forty-nine".