513211201 has 16 divisors (see below), whose sum is σ = 534053520. Its totient is φ = 492791040.

The previous prime is 513211183. The next prime is 513211211. The reversal of 513211201 is 102112315.

It can be written as a sum of positive squares in 8 ways, for example, as 2496400 + 510714801 = 1580^2 + 22599^2 .

It is a cyclic number.

It is not a de Polignac number, because 513211201 - 2⁹ = 513210689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513211211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1319115 + ... + 1319503.

It is an arithmetic number, because the mean of its divisors is an integer number (33378345).

Almost surely, 2^513211201 is an apocalyptic number.

It is an amenable number.

513211201 is a deficient number, since it is larger than the sum of its proper divisors (20842319).

513211201 is a wasteful number, since it uses less digits than its factorization.

513211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804.

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 513211201 is about 22654.1652020109. The cubic root of 513211201 is about 800.6303370677.

Adding to 513211201 its reverse (102112315), we get a palindrome (615323516).

The spelling of 513211201 in words is "five hundred thirteen million, two hundred eleven thousand, two hundred one".