505521973392 has 160 divisors (see below), whose sum is σ = 1363736715264. Its totient is φ = 161179545600.

The previous prime is 505521973357. The next prime is 505521973421. The reversal of 505521973392 is 293379125505.

It is a happy number.

It is an unprimeable number.

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, 140148453 + ... + 140152059.

Almost surely, 2^505521973392 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 505521973392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681868357632).

505521973392 is an abundant number, since it is smaller than the sum of its proper divisors (858214741872).

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

505521973392 is a wasteful number, since it uses less digits than its factorization.

505521973392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4717 (or 4711 counting only the distinct ones).

The product of its (nonzero) digits is 2551500, while the sum is 51.

The spelling of 505521973392 in words is "five hundred five billion, five hundred twenty-one million, nine hundred seventy-three thousand, three hundred ninety-two".