513067201 has 2 divisors, whose sum is σ = 513067202. Its totient is φ = 513067200.

The previous prime is 513067199. The next prime is 513067207. The reversal of 513067201 is 102760315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 512977201 + 90000 = 22649^2 + 300^2 .

It is a cyclic number.

It is not a de Polignac number, because 513067201 - 2¹ = 513067199 is a prime.

Together with 513067199, it forms a pair of twin primes.

It is equal to p_27007063 and since 513067201 and 27007063 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (513067207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256533600 + 256533601.

It is an arithmetic number, because the mean of its divisors is an integer number (256533601).

Almost surely, 2^513067201 is an apocalyptic number.

It is an amenable number.

513067201 is a deficient number, since it is larger than the sum of its proper divisors (1).

513067201 is an equidigital number, since it uses as much as digits as its factorization.

513067201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 513067201 is about 22650.9867555478. The cubic root of 513067201 is about 800.5554481117. Note that the first 3 decimals are identical.

The spelling of 513067201 in words is "five hundred thirteen million, sixty-seven thousand, two hundred one".