506505516140 has 72 divisors (see below), whose sum is σ = 1212395481360. Its totient is φ = 177174376704.

The previous prime is 506505516133. The next prime is 506505516169. The reversal of 506505516140 is 41615505605.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 506505516094 and 506505516103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3879299 + ... + 4007738.

It is an arithmetic number, because the mean of its divisors is an integer number (16838826130).

Almost surely, 2^506505516140 is an apocalyptic number.

It is an amenable number.

506505516140 is an abundant number, since it is smaller than the sum of its proper divisors (705889965220).

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

506505516140 is a wasteful number, since it uses less digits than its factorization.

506505516140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7887091 (or 7887076 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 38.

The spelling of 506505516140 in words is "five hundred six billion, five hundred five million, five hundred sixteen thousand, one hundred forty".