513354400540 has 48 divisors (see below), whose sum is σ = 1134845298720. Its totient is φ = 194523690240.

The previous prime is 513354400529. The next prime is 513354400553. The reversal of 513354400540 is 45004453315.

It is a junction number, because it is equal to n+sod(n) for n = 513354400496 and 513354400505.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13045134 + ... + 13084426.

It is an arithmetic number, because the mean of its divisors is an integer number (23642610390).

Almost surely, 2^513354400540 is an apocalyptic number.

It is an amenable number.

513354400540 is an abundant number, since it is smaller than the sum of its proper divisors (621490898180).

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

513354400540 is a wasteful number, since it uses less digits than its factorization.

513354400540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73702 (or 73700 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

Adding to 513354400540 its reverse (45004453315), we get a palindrome (558358853855).

The spelling of 513354400540 in words is "five hundred thirteen billion, three hundred fifty-four million, four hundred thousand, five hundred forty".