513011440080 has 120 divisors (see below), whose sum is σ = 1738965208032. Its totient is φ = 135524497152.

The previous prime is 513011440001. The next prime is 513011440087. The reversal of 513011440080 is 80044110315.

It is a happy number.

513011440080 is a `hidden beast` number, since 5 + 130 + 11 + 440 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513011440087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3252474 + ... + 3406553.

Almost surely, 2^513011440080 is an apocalyptic number.

It is an amenable number.

513011440080 is an abundant number, since it is smaller than the sum of its proper divisors (1225953767952).

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

513011440080 is a wasteful number, since it uses less digits than its factorization.

513011440080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6659153 (or 6659144 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 513011440080 its reverse (80044110315), we get a palindrome (593055550395).

The spelling of 513011440080 in words is "five hundred thirteen billion, eleven million, four hundred forty thousand, eighty".