513216601 has 2 divisors, whose sum is σ = 513216602. Its totient is φ = 513216600.

The previous prime is 513216577. The next prime is 513216623. The reversal of 513216601 is 106612315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 496398400 + 16818201 = 22280^2 + 4101^2 .

It is a cyclic number.

It is not a de Polignac number, because 513216601 - 2¹⁵ = 513183833 is a prime.

It is not a weakly prime, because it can be changed into another prime (513216101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256608300 + 256608301.

It is an arithmetic number, because the mean of its divisors is an integer number (256608301).

Almost surely, 2^513216601 is an apocalyptic number.

It is an amenable number.

513216601 is a deficient number, since it is larger than the sum of its proper divisors (1).

513216601 is an equidigital number, since it uses as much as digits as its factorization.

513216601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 513216601 is about 22654.2843850782. The cubic root of 513216601 is about 800.6331451310.

Adding to 513216601 its reverse (106612315), we get a palindrome (619828916).

The spelling of 513216601 in words is "five hundred thirteen million, two hundred sixteen thousand, six hundred one".