521313 has 8 divisors (see below), whose sum is σ = 748608. Its totient is φ = 320784.

The previous prime is 521309. The next prime is 521317. The reversal of 521313 is 313125.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (521309) and next prime (521317).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 521313 - 2² = 521309 is a prime.

521313 is a modest number, since divided by 1313 gives 52 as remainder.

521313 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 521292 and 521301.

It is not an unprimeable number, because it can be changed into a prime (521317) 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, 6645 + ... + 6722.

It is an arithmetic number, because the mean of its divisors is an integer number (93576).

2⁵²¹³¹³ is an apocalyptic number.

It is an amenable number.

521313 is a deficient number, since it is larger than the sum of its proper divisors (227295).

521313 is a wasteful number, since it uses less digits than its factorization.

521313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13383.

The product of its digits is 90, while the sum is 15.

The square root of 521313 is about 722.0200828232. The cubic root of 521313 is about 80.4821405026.

Adding to 521313 its reverse (313125), we get a palindrome (834438).

The spelling of 521313 in words is "five hundred twenty-one thousand, three hundred thirteen".