513211 has 4 divisors (see below), whose sum is σ = 514792. Its totient is φ = 511632.

The previous prime is 513203. The next prime is 513239. The reversal of 513211 is 112315.

513211 is nontrivially palindromic in base 14.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 513211 - 2³ = 513203 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 513191 and 513200.

It is not an unprimeable number, because it can be changed into a prime (513311) 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 3 ways as a sum of consecutive naturals, for example, 105 + ... + 1018.

It is an arithmetic number, because the mean of its divisors is an integer number (128698).

2⁵¹³²¹¹ is an apocalyptic number.

513211 is a deficient number, since it is larger than the sum of its proper divisors (1581).

513211 is a wasteful number, since it uses less digits than its factorization.

513211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580.

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

The square root of 513211 is about 716.3874649936. The cubic root of 513211 is about 80.0630232545.

Adding to 513211 its reverse (112315), we get a palindrome (625526).

The spelling of 513211 in words is "five hundred thirteen thousand, two hundred eleven".