513036401 has 2 divisors, whose sum is σ = 513036402. Its totient is φ = 513036400.

The previous prime is 513036389. The next prime is 513036427. The reversal of 513036401 is 104630315.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 309232225 + 203804176 = 17585^2 + 14276^2 .

It is a cyclic number.

It is not a de Polignac number, because 513036401 - 2¹⁸ = 512774257 is a prime.

It is not a weakly prime, because it can be changed into another prime (513036101) 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, 256518200 + 256518201.

It is an arithmetic number, because the mean of its divisors is an integer number (256518201).

Almost surely, 2^513036401 is an apocalyptic number.

It is an amenable number.

513036401 is a deficient number, since it is larger than the sum of its proper divisors (1).

513036401 is an equidigital number, since it uses as much as digits as its factorization.

513036401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 513036401 is about 22650.3068632635. The cubic root of 513036401 is about 800.5394283770.

Adding to 513036401 its reverse (104630315), we get a palindrome (617666716).

The spelling of 513036401 in words is "five hundred thirteen million, thirty-six thousand, four hundred one".