513600401 has 2 divisors, whose sum is σ = 513600402. Its totient is φ = 513600400.

The previous prime is 513600397. The next prime is 513600403. The reversal of 513600401 is 104006315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 472627600 + 40972801 = 21740^2 + 6401^2 .

It is a cyclic number.

It is not a de Polignac number, because 513600401 - 2² = 513600397 is a prime.

Together with 513600403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (513600403) 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, 256800200 + 256800201.

It is an arithmetic number, because the mean of its divisors is an integer number (256800201).

Almost surely, 2^513600401 is an apocalyptic number.

It is an amenable number.

513600401 is a deficient number, since it is larger than the sum of its proper divisors (1).

513600401 is an equidigital number, since it uses as much as digits as its factorization.

513600401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 513600401 is about 22662.7536058618. The cubic root of 513600401 is about 800.8326752018.

Adding to 513600401 its reverse (104006315), we get a palindrome (617606716).

The spelling of 513600401 in words is "five hundred thirteen million, six hundred thousand, four hundred one".