513344601113 has 8 divisors (see below), whose sum is σ = 518545574280. Its totient is φ = 508145948800.

The previous prime is 513344601083. The next prime is 513344601169. The reversal of 513344601113 is 311106443315.

It can be written as a sum of positive squares in 4 ways, for example, as 132708661264 + 380635939849 = 364292^2 + 616957^2 .

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 513344601113 - 2¹⁰ = 513344600089 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 513344601113.

It is not an unprimeable number, because it can be changed into a prime (513344601313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133868 + ... + 1022061.

It is an arithmetic number, because the mean of its divisors is an integer number (64818196785).

Almost surely, 2^513344601113 is an apocalyptic number.

It is an amenable number.

513344601113 is a deficient number, since it is larger than the sum of its proper divisors (5200973167).

513344601113 is a wasteful number, since it uses less digits than its factorization.

513344601113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160427.

The product of its (nonzero) digits is 12960, while the sum is 32.

The spelling of 513344601113 in words is "five hundred thirteen billion, three hundred forty-four million, six hundred one thousand, one hundred thirteen".