508205538912 has 96 divisors (see below), whose sum is σ = 1385816947200. Its totient is φ = 162875836928.

The previous prime is 508205538889. The next prime is 508205538913. The reversal of 508205538912 is 219835502805.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×508205538912² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508205538913) 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 15 ways as a sum of consecutive naturals, for example, 283483 + ... + 1047269.

It is an arithmetic number, because the mean of its divisors is an integer number (14435593200).

Almost surely, 2^508205538912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 508205538912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692908473600).

508205538912 is an abundant number, since it is smaller than the sum of its proper divisors (877611408288).

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

508205538912 is a wasteful number, since it uses less digits than its factorization.

508205538912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764068 (or 764060 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 48.

The spelling of 508205538912 in words is "five hundred eight billion, two hundred five million, five hundred thirty-eight thousand, nine hundred twelve".