505193765912 has 64 divisors (see below), whose sum is σ = 1078720796160. Its totient is φ = 219559507200.

The previous prime is 505193765911. The next prime is 505193765939. The reversal of 505193765912 is 219567391505.

It is a super-2 number, since 2×505193765912² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505193765911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5016212 + ... + 5115932.

It is an arithmetic number, because the mean of its divisors is an integer number (16855012440).

Almost surely, 2^505193765912 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 505193765912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539360398080).

505193765912 is an abundant number, since it is smaller than the sum of its proper divisors (573527030248).

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

505193765912 is a wasteful number, since it uses less digits than its factorization.

505193765912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102264 (or 102260 counting only the distinct ones).

The product of its (nonzero) digits is 2551500, while the sum is 53.

The spelling of 505193765912 in words is "five hundred five billion, one hundred ninety-three million, seven hundred sixty-five thousand, nine hundred twelve".