513211013 has 4 divisors (see below), whose sum is σ = 586526880. Its totient is φ = 439895148.

The previous prime is 513211003. The next prime is 513211037. The reversal of 513211013 is 310112315.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 513211013 - 2¹⁰ = 513209989 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 513210982 and 513211000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513211003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36657923 + ... + 36657936.

It is an arithmetic number, because the mean of its divisors is an integer number (146631720).

Almost surely, 2^513211013 is an apocalyptic number.

It is an amenable number.

513211013 is a deficient number, since it is larger than the sum of its proper divisors (73315867).

513211013 is an equidigital number, since it uses as much as digits as its factorization.

513211013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73315866.

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 513211013 is about 22654.1610526632. The cubic root of 513211013 is about 800.6302393051.

Adding to 513211013 its reverse (310112315), we get a palindrome (823323328).

The spelling of 513211013 in words is "five hundred thirteen million, two hundred eleven thousand, thirteen".