513212513 has 8 divisors (see below), whose sum is σ = 560066400. Its totient is φ = 466391680.

The previous prime is 513212467. The next prime is 513212573. The reversal of 513212513 is 315212315.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 513212513 - 2¹² = 513208417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513212573) 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, 33338 + ... + 46236.

It is an arithmetic number, because the mean of its divisors is an integer number (70008300).

Almost surely, 2^513212513 is an apocalyptic number.

It is an amenable number.

513212513 is a deficient number, since it is larger than the sum of its proper divisors (46853887).

513212513 is a wasteful number, since it uses less digits than its factorization.

513212513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16527.

The product of its digits is 900, while the sum is 23.

The square root of 513212513 is about 22654.1941591397. The cubic root of 513212513 is about 800.6310193249.

Adding to 513212513 its reverse (315212315), we get a palindrome (828424828).

The spelling of 513212513 in words is "five hundred thirteen million, two hundred twelve thousand, five hundred thirteen".