521311 has 6 divisors (see below), whose sum is σ = 606480. Its totient is φ = 446796.

The previous prime is 521309. The next prime is 521317. The reversal of 521311 is 113125.

It is not a de Polignac number, because 521311 - 2¹ = 521309 is a prime.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 521291 and 521300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (521317) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5271 + ... + 5368.

It is an arithmetic number, because the mean of its divisors is an integer number (101080).

2⁵²¹³¹¹ is an apocalyptic number.

521311 is a deficient number, since it is larger than the sum of its proper divisors (85169).

521311 is a wasteful number, since it uses less digits than its factorization.

521311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10653 (or 10646 counting only the distinct ones).

The product of its digits is 30, while the sum is 13.

The square root of 521311 is about 722.0186978188. The cubic root of 521311 is about 80.4820375801.

Adding to 521311 its reverse (113125), we get a palindrome (634436).

It can be divided in two parts, 5 and 21311, that added together give a square (21316 = 146²).

The spelling of 521311 in words is "five hundred twenty-one thousand, three hundred eleven".