513360026320 has 20 divisors (see below), whose sum is σ = 1193562061380. Its totient is φ = 205344010496.

The previous prime is 513360026279. The next prime is 513360026321. The reversal of 513360026320 is 23620063315.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 352940551744 + 160419474576 = 594088^2 + 400524^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513360026321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3208500085 + ... + 3208500244.

It is an arithmetic number, because the mean of its divisors is an integer number (59678103069).

Almost surely, 2^513360026320 is an apocalyptic number.

It is an amenable number.

513360026320 is an abundant number, since it is smaller than the sum of its proper divisors (680202035060).

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

513360026320 is a wasteful number, since it uses less digits than its factorization.

513360026320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6417000342 (or 6417000336 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 31.

Adding to 513360026320 its reverse (23620063315), we get a palindrome (536980089635).

The spelling of 513360026320 in words is "five hundred thirteen billion, three hundred sixty million, twenty-six thousand, three hundred twenty".