521125 has 16 divisors (see below), whose sum is σ = 711360. Its totient is φ = 378000.

The previous prime is 521119. The next prime is 521137.

521125 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-521125 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 521099 and 521108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1186 + ... + 1564.

It is an arithmetic number, because the mean of its divisors is an integer number (44460).

2⁵²¹¹²⁵ is an apocalyptic number.

521125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

521125 is a deficient number, since it is larger than the sum of its proper divisors (190235).

521125 is a wasteful number, since it uses less digits than its factorization.

521125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 395 counting only the distinct ones).

The product of its digits is 100, while the sum is 16.

The square root of 521125 is about 721.8898807990. The cubic root of 521125 is about 80.4724646383.

It can be divided in two parts, 521 and 125, that added together give a palindrome (646).

The spelling of 521125 in words is "five hundred twenty-one thousand, one hundred twenty-five".