513520320330051 has 32 divisors (see below), whose sum is σ = 726647562240000. Its totient is φ = 321667547029920.

The previous prime is 513520320329981. The next prime is 513520320330067. The reversal of 513520320330051 is 150033023025315.

It is not a de Polignac number, because 513520320330051 - 2¹⁴ = 513520320313667 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 513520320329994 and 513520320330021.

It is not an unprimeable number, because it can be changed into a prime (513520320330851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9882816 + ... + 33536706.

It is an arithmetic number, because the mean of its divisors is an integer number (22707736320000).

Almost surely, 2^{513520320330051} is an apocalyptic number.

513520320330051 is a deficient number, since it is larger than the sum of its proper divisors (213127241909949).

513520320330051 is a wasteful number, since it uses less digits than its factorization.

513520320330051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23657039.

The product of its (nonzero) digits is 40500, while the sum is 33.

Adding to 513520320330051 its reverse (150033023025315), we get a palindrome (663553343355366).

The spelling of 513520320330051 in words is "five hundred thirteen trillion, five hundred twenty billion, three hundred twenty million, three hundred thirty thousand, fifty-one".