513513354213 has 16 divisors (see below), whose sum is σ = 763588641600. Its totient is φ = 341069583600.

The previous prime is 513513354197. The next prime is 513513354223. The reversal of 513513354213 is 312453315315.

513513354213 is a `hidden beast` number, since 51 + 3 + 51 + 3 + 3 + 542 + 13 = 666.

It is not a de Polignac number, because 513513354213 - 2⁴ = 513513354197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513513354223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35344063 + ... + 35358588.

It is an arithmetic number, because the mean of its divisors is an integer number (47724290100).

Almost surely, 2^513513354213 is an apocalyptic number.

It is an amenable number.

513513354213 is a deficient number, since it is larger than the sum of its proper divisors (250075287387).

513513354213 is a wasteful number, since it uses less digits than its factorization.

513513354213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70702929 (or 70702923 counting only the distinct ones).

The product of its digits is 81000, while the sum is 36.

Adding to 513513354213 its reverse (312453315315), we get a palindrome (825966669528).

The spelling of 513513354213 in words is "five hundred thirteen billion, five hundred thirteen million, three hundred fifty-four thousand, two hundred thirteen".