512513211 has 16 divisors (see below), whose sum is σ = 790860800. Its totient is φ = 289156608.

The previous prime is 512513189. The next prime is 512513213. The reversal of 512513211 is 112315215.

It is not a de Polignac number, because 512513211 - 2⁵ = 512513179 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (512513213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152806 + ... + 156123.

It is an arithmetic number, because the mean of its divisors is an integer number (49428800).

Almost surely, 2^512513211 is an apocalyptic number.

512513211 is a deficient number, since it is larger than the sum of its proper divisors (278347589).

512513211 is a wasteful number, since it uses less digits than its factorization.

512513211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309018.

The product of its digits is 300, while the sum is 21.

The square root of 512513211 is about 22638.7546256414. The cubic root of 512513211 is about 800.2672081357.

Adding to 512513211 its reverse (112315215), we get a palindrome (624828426).

It can be divided in two parts, 5125 and 13211, that added together give a triangular number (18336 = T₁₉₁).

The spelling of 512513211 in words is "five hundred twelve million, five hundred thirteen thousand, two hundred eleven".