513004211 has 2 divisors, whose sum is σ = 513004212. Its totient is φ = 513004210.

The previous prime is 513004207. The next prime is 513004231. The reversal of 513004211 is 112400315.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 513004211 - 2² = 513004207 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 513004211.

It is not a weakly prime, because it can be changed into another prime (513004231) 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 as a sum of consecutive naturals, namely, 256502105 + 256502106.

It is an arithmetic number, because the mean of its divisors is an integer number (256502106).

Almost surely, 2^513004211 is an apocalyptic number.

513004211 is a deficient number, since it is larger than the sum of its proper divisors (1).

513004211 is an equidigital number, since it uses as much as digits as its factorization.

513004211 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 513004211 is about 22649.5962657174. The cubic root of 513004211 is about 800.5226849886.

Adding to 513004211 its reverse (112400315), we get a palindrome (625404526).

The spelling of 513004211 in words is "five hundred thirteen million, four thousand, two hundred eleven".