521059 has 16 divisors (see below), whose sum is σ = 665856. Its totient is φ = 396000.

The previous prime is 521051. The next prime is 521063. The reversal of 521059 is 950125.

521059 is nontrivially palindromic in base 6.

It is not a de Polignac number, because 521059 - 2³ = 521051 is a prime.

It is a Duffinian number.

521059 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (521051) by changing a digit.

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, 5109 + ... + 5209.

It is an arithmetic number, because the mean of its divisors is an integer number (41616).

2⁵²¹⁰⁵⁹ is an apocalyptic number.

521059 is a deficient number, since it is larger than the sum of its proper divisors (144797).

521059 is a wasteful number, since it uses less digits than its factorization.

521059 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186.

The product of its (nonzero) digits is 450, while the sum is 22.

The square root of 521059 is about 721.8441660081. The cubic root of 521059 is about 80.4690672404.

It can be divided in two parts, 52 and 1059, that added together give a palindrome (1111).

The spelling of 521059 in words is "five hundred twenty-one thousand, fifty-nine".