505213125312 has 224 divisors, whose sum is σ = 1639694472192. Its totient is φ = 133994151936.

The previous prime is 505213125301. The next prime is 505213125317. The reversal of 505213125312 is 213521312505.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 505213125312.

It is not an unprimeable number, because it can be changed into a prime (505213125317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1516453 + ... + 1819355.

It is an arithmetic number, because the mean of its divisors is an integer number (7320064608).

Almost surely, 2^505213125312 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 505213125312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819847236096).

505213125312 is an abundant number, since it is smaller than the sum of its proper divisors (1134481346880).

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

505213125312 is a wasteful number, since it uses less digits than its factorization.

505213125312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303015 (or 303005 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 505213125312 its reverse (213521312505), we get a palindrome (718734437817).

The spelling of 505213125312 in words is "five hundred five billion, two hundred thirteen million, one hundred twenty-five thousand, three hundred twelve".