513513242312 has 48 divisors (see below), whose sum is σ = 1122335544960. Its totient is φ = 219625118496.

The previous prime is 513513242311. The next prime is 513513242351. The reversal of 513513242312 is 213242315315.

It is not an unprimeable number, because it can be changed into a prime (513513242311) 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 11 ways as a sum of consecutive naturals, for example, 1154048 + ... + 1535855.

It is an arithmetic number, because the mean of its divisors is an integer number (23381990520).

Almost surely, 2^513513242312 is an apocalyptic number.

It is an amenable number.

513513242312 is an abundant number, since it is smaller than the sum of its proper divisors (608822302648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513513242312 is a wasteful number, since it uses less digits than its factorization.

513513242312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690410 (or 2690399 counting only the distinct ones).

The product of its digits is 21600, while the sum is 32.

Adding to 513513242312 its reverse (213242315315), we get a palindrome (726755557627).

The spelling of 513513242312 in words is "five hundred thirteen billion, five hundred thirteen million, two hundred forty-two thousand, three hundred twelve".