505513220520 has 256 divisors, whose sum is σ = 1894081812480. Its totient is φ = 104856652800.

The previous prime is 505513220497. The next prime is 505513220521. The reversal of 505513220520 is 25022315505.

It is a super-2 number, since 2×505513220520² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (505513220521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5228134 + ... + 5323946.

It is an arithmetic number, because the mean of its divisors is an integer number (7398757080).

Almost surely, 2^505513220520 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 505513220520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947040906240).

505513220520 is an abundant number, since it is smaller than the sum of its proper divisors (1388568591960).

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

505513220520 is a wasteful number, since it uses less digits than its factorization.

505513220520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96416 (or 96412 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The spelling of 505513220520 in words is "five hundred five billion, five hundred thirteen million, two hundred twenty thousand, five hundred twenty".