505213125120 has 480 divisors, whose sum is σ = 2009238454080. Its totient is φ = 116028702720.

The previous prime is 505213125103. The next prime is 505213125161. The reversal of 505213125120 is 21521312505.

505213125120 is a `hidden beast` number, since 5 + 0 + 521 + 3 + 12 + 5 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4762902 + ... + 4867818.

It is an arithmetic number, because the mean of its divisors is an integer number (4185913446).

Almost surely, 2^505213125120 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 505213125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004619227040).

505213125120 is an abundant number, since it is smaller than the sum of its proper divisors (1504025328960).

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

505213125120 is a wasteful number, since it uses less digits than its factorization.

505213125120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104976 (or 104957 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 505213125120 its reverse (21521312505), we get a palindrome (526734437625).

The spelling of 505213125120 in words is "five hundred five billion, two hundred thirteen million, one hundred twenty-five thousand, one hundred twenty".