512113 has 8 divisors (see below), whose sum is σ = 590400. Its totient is φ = 435120.

The previous prime is 512101. The next prime is 512137. The reversal of 512113 is 311215.

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

It is a de Polignac number, because none of the positive numbers 2^k-512113 is a prime.

It is a Duffinian number.

512113 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 512093 and 512102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512713) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 798 + ... + 1288.

It is an arithmetic number, because the mean of its divisors is an integer number (73800).

2⁵¹²¹¹³ is an apocalyptic number.

It is an amenable number.

512113 is a deficient number, since it is larger than the sum of its proper divisors (78287).

512113 is a wasteful number, since it uses less digits than its factorization.

512113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647.

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

The square root of 512113 is about 715.6207095941. The cubic root of 512113 is about 80.0058849837.

Adding to 512113 its reverse (311215), we get a palindrome (823328).

It can be divided in two parts, 512 and 113, that added together give a 4-th power (625 = 5⁴).

The spelling of 512113 in words is "five hundred twelve thousand, one hundred thirteen".