513312001 has 4 divisors (see below), whose sum is σ = 513366532. Its totient is φ = 513257472.

The previous prime is 513311969. The next prime is 513312013. The reversal of 513312001 is 100213315.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 123210000 + 390102001 = 11100^2 + 19751^2 .

It is a cyclic number.

It is not a de Polignac number, because 513312001 - 2⁵ = 513311969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513312061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9120 + ... + 33313.

It is an arithmetic number, because the mean of its divisors is an integer number (128341633).

Almost surely, 2^513312001 is an apocalyptic number.

It is an amenable number.

513312001 is a deficient number, since it is larger than the sum of its proper divisors (54531).

513312001 is a wasteful number, since it uses less digits than its factorization.

513312001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54530.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 513312001 is about 22656.3898492236. The cubic root of 513312001 is about 800.6827510022.

Adding to 513312001 its reverse (100213315), we get a palindrome (613525316).

The spelling of 513312001 in words is "five hundred thirteen million, three hundred twelve thousand, one".