503121 has 8 divisors (see below), whose sum is σ = 694080. Its totient is φ = 323792.

The previous prime is 503077. The next prime is 503123. The reversal of 503121 is 121305.

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 503121 - 2¹⁷ = 372049 is a prime.

It is an Ulam number.

503121 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 503097 and 503106.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 503121.

It is not an unprimeable number, because it can be changed into a prime (503123) 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, 2805 + ... + 2978.

It is an arithmetic number, because the mean of its divisors is an integer number (86760).

2⁵⁰³¹²¹ is an apocalyptic number.

It is an amenable number.

503121 is a deficient number, since it is larger than the sum of its proper divisors (190959).

503121 is a wasteful number, since it uses less digits than its factorization.

503121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5815.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 503121 is about 709.3102283204. The cubic root of 503121 is about 79.5348528010.

Adding to 503121 its reverse (121305), we get a palindrome (624426).

The spelling of 503121 in words is "five hundred three thousand, one hundred twenty-one".