513513343123 has 8 divisors (see below), whose sum is σ = 560300198400. Its totient is φ = 466743791880.

The previous prime is 513513343069. The next prime is 513513343141. The reversal of 513513343123 is 321343315315.

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 513513343123 - 2⁹ = 513513342611 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513513343183) 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, 4263915 + ... + 4382692.

It is an arithmetic number, because the mean of its divisors is an integer number (70037524800).

Almost surely, 2^513513343123 is an apocalyptic number.

513513343123 is a deficient number, since it is larger than the sum of its proper divisors (46786855277).

513513343123 is a wasteful number, since it uses less digits than its factorization.

513513343123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8652017.

The product of its digits is 48600, while the sum is 34.

Adding to 513513343123 its reverse (321343315315), we get a palindrome (834856658438).

The spelling of 513513343123 in words is "five hundred thirteen billion, five hundred thirteen million, three hundred forty-three thousand, one hundred twenty-three".