513332162401 has 8 divisors (see below), whose sum is σ = 543536062344. Its totient is φ = 483129139200.

The previous prime is 513332162381. The next prime is 513332162407. The reversal of 513332162401 is 104261233315.

It can be written as a sum of positive squares in 4 ways, for example, as 22582876176 + 490749286225 = 150276^2 + 700535^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 513332162401 - 2²³ = 513323773793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513332162407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1278841 + ... + 1631593.

It is an arithmetic number, because the mean of its divisors is an integer number (67942007793).

Almost surely, 2^513332162401 is an apocalyptic number.

It is an amenable number.

513332162401 is a deficient number, since it is larger than the sum of its proper divisors (30203899943).

513332162401 is a wasteful number, since it uses less digits than its factorization.

513332162401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438371.

The product of its (nonzero) digits is 12960, while the sum is 31.

Adding to 513332162401 its reverse (104261233315), we get a palindrome (617593395716).

The spelling of 513332162401 in words is "five hundred thirteen billion, three hundred thirty-two million, one hundred sixty-two thousand, four hundred one".