513113 has 4 divisors (see below), whose sum is σ = 515328. Its totient is φ = 510900.

The previous prime is 513109. The next prime is 513131. The reversal of 513113 is 311315.

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 a cyclic number.

It is not a de Polignac number, because 513113 - 2² = 513109 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (513103) 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 3 ways as a sum of consecutive naturals, for example, 713 + ... + 1238.

It is an arithmetic number, because the mean of its divisors is an integer number (128832).

2⁵¹³¹¹³ is an apocalyptic number.

It is an amenable number.

513113 is a deficient number, since it is larger than the sum of its proper divisors (2215).

513113 is a wasteful number, since it uses less digits than its factorization.

513113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214.

The product of its digits is 45, while the sum is 14.

The square root of 513113 is about 716.3190629880. The cubic root of 513113 is about 80.0579267960.

Adding to 513113 its reverse (311315), we get a palindrome (824428).

It can be divided in two parts, 513 and 113, that added together give a palindrome (626).

The spelling of 513113 in words is "five hundred thirteen thousand, one hundred thirteen".