521361 has 12 divisors (see below), whose sum is σ = 767988. Its totient is φ = 340704.

The previous prime is 521359. The next prime is 521363. The reversal of 521361 is 163125.

It is an interprime number because it is at equal distance from previous prime (521359) and next prime (521363).

It can be written as a sum of positive squares in 2 ways, for example, as 463761 + 57600 = 681^2 + 240^2 .

It is not a de Polignac number, because 521361 - 2¹ = 521359 is a prime.

521361 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 521361.

It is not an unprimeable number, because it can be changed into a prime (521363) 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 11 ways as a sum of consecutive naturals, for example, 70 + ... + 1023.

It is an arithmetic number, because the mean of its divisors is an integer number (63999).

2⁵²¹³⁶¹ is an apocalyptic number.

It is an amenable number.

521361 is a deficient number, since it is larger than the sum of its proper divisors (246627).

521361 is a wasteful number, since it uses less digits than its factorization.

521361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1149 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 521361 is about 722.0533221307. The cubic root of 521361 is about 80.4846105633.

Adding to 521361 its reverse (163125), we get a palindrome (684486).

The spelling of 521361 in words is "five hundred twenty-one thousand, three hundred sixty-one".