513331456540 has 96 divisors (see below), whose sum is σ = 1309816811520. Its totient is φ = 165170793216.

The previous prime is 513331456531. The next prime is 513331456541. The reversal of 513331456540 is 45654133315.

It is a junction number, because it is equal to n+sod(n) for n = 513331456493 and 513331456502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513331456541) 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 31 ways as a sum of consecutive naturals, for example, 1333300 + ... + 1674619.

It is an arithmetic number, because the mean of its divisors is an integer number (13643925120).

Almost surely, 2^513331456540 is an apocalyptic number.

It is an amenable number.

513331456540 is an abundant number, since it is smaller than the sum of its proper divisors (796485354980).

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

513331456540 is a wasteful number, since it uses less digits than its factorization.

513331456540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008011 (or 3008009 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 40.

Adding to 513331456540 its reverse (45654133315), we get a palindrome (558985589855).

The spelling of 513331456540 in words is "five hundred thirteen billion, three hundred thirty-one million, four hundred fifty-six thousand, five hundred forty".