513322113 has 16 divisors (see below), whose sum is σ = 689057600. Its totient is φ = 339909696.

The previous prime is 513322039. The next prime is 513322129. The reversal of 513322113 is 311223315.

It is not a de Polignac number, because 513322113 - 2¹² = 513318017 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 513322113.

It is not an unprimeable number, because it can be changed into a prime (513322133) 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 15 ways as a sum of consecutive naturals, for example, 320631 + ... + 322227.

It is an arithmetic number, because the mean of its divisors is an integer number (43066100).

Almost surely, 2^513322113 is an apocalyptic number.

It is an amenable number.

513322113 is a deficient number, since it is larger than the sum of its proper divisors (175735487).

513322113 is a wasteful number, since it uses less digits than its factorization.

513322113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256.

The product of its digits is 540, while the sum is 21.

The square root of 513322113 is about 22656.6130081263. The cubic root of 513322113 is about 800.6880086563.

Adding to 513322113 its reverse (311223315), we get a palindrome (824545428).

The spelling of 513322113 in words is "five hundred thirteen million, three hundred twenty-two thousand, one hundred thirteen".