505137 has 8 divisors (see below), whose sum is σ = 678304. Its totient is φ = 334368.

The previous prime is 505129. The next prime is 505139. The reversal of 505137 is 731505.

It is a happy number.

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

It is not a de Polignac number, because 505137 - 2³ = 505129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (505139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28 + ... + 1005.

It is an arithmetic number, because the mean of its divisors is an integer number (84788).

2⁵⁰⁵¹³⁷ is an apocalyptic number.

It is an amenable number.

505137 is a deficient number, since it is larger than the sum of its proper divisors (173167).

505137 is a wasteful number, since it uses less digits than its factorization.

505137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199.

The product of its (nonzero) digits is 525, while the sum is 21.

The square root of 505137 is about 710.7299065046. The cubic root of 505137 is about 79.6409429699.

The spelling of 505137 in words is "five hundred five thousand, one hundred thirty-seven".