505513493820 has 144 divisors (see below), whose sum is σ = 1577867473728. Its totient is φ = 130907612160.

The previous prime is 505513493801. The next prime is 505513493831. The reversal of 505513493820 is 28394315505.

505513493820 is a `hidden beast` number, since 5 + 0 + 551 + 3 + 4 + 93 + 8 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3397017 + ... + 3542703.

It is an arithmetic number, because the mean of its divisors is an integer number (10957413012).

Almost surely, 2^505513493820 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 505513493820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788933736864).

505513493820 is an abundant number, since it is smaller than the sum of its proper divisors (1072353979908).

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

505513493820 is a wasteful number, since it uses less digits than its factorization.

505513493820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146260 (or 146255 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 505513493820 in words is "five hundred five billion, five hundred thirteen million, four hundred ninety-three thousand, eight hundred twenty".