513331516345 has 16 divisors (see below), whose sum is σ = 617311270800. Its totient is φ = 409790377984.

The previous prime is 513331516337. The next prime is 513331516381. The reversal of 513331516345 is 543615133315.

It can be written as a sum of positive squares in 8 ways, for example, as 25807779904 + 487523736441 = 160648^2 + 698229^2 .

It is a cyclic number.

It is not a de Polignac number, because 513331516345 - 2³ = 513331516337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 513331516298 and 513331516307.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5208081 + ... + 5305729.

It is an arithmetic number, because the mean of its divisors is an integer number (38581954425).

Almost surely, 2^513331516345 is an apocalyptic number.

It is an amenable number.

513331516345 is a deficient number, since it is larger than the sum of its proper divisors (103979754455).

513331516345 is a wasteful number, since it uses less digits than its factorization.

513331516345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99884.

The product of its digits is 243000, while the sum is 40.

The spelling of 513331516345 in words is "five hundred thirteen billion, three hundred thirty-one million, five hundred sixteen thousand, three hundred forty-five".