506780253180 has 72 divisors (see below), whose sum is σ = 1574726955984. Its totient is φ = 131845267200.

The previous prime is 506780253149. The next prime is 506780253191. The reversal of 506780253180 is 81352087605.

506780253180 is a `hidden beast` number, since 50 + 67 + 8 + 0 + 2 + 531 + 8 + 0 = 666.

It is a super-2 number, since 2×506780253180² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34327326 + ... + 34342085.

It is an arithmetic number, because the mean of its divisors is an integer number (21871207722).

Almost surely, 2^506780253180 is an apocalyptic number.

It is an amenable number.

506780253180 is an abundant number, since it is smaller than the sum of its proper divisors (1067946702804).

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

506780253180 is a wasteful number, since it uses less digits than its factorization.

506780253180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68669467 (or 68669462 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

Adding to 506780253180 its sum of digits (45), we get a square (506780253225 = 711885²).

The spelling of 506780253180 in words is "five hundred six billion, seven hundred eighty million, two hundred fifty-three thousand, one hundred eighty".