505352342250 has 192 divisors, whose sum is σ = 1562285926656. Its totient is φ = 115464528000.

The previous prime is 505352342221. The next prime is 505352342267. The reversal of 505352342250 is 52243253505.

505352342250 is a `hidden beast` number, since 50 + 5 + 352 + 3 + 4 + 2 + 250 = 666.

It is a super-2 number, since 2×505352342250² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58128904 + ... + 58137596.

It is an arithmetic number, because the mean of its divisors is an integer number (8136905868).

Almost surely, 2^505352342250 is an apocalyptic number.

505352342250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 505352342250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781142963328).

505352342250 is an abundant number, since it is smaller than the sum of its proper divisors (1056933584406).

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

505352342250 is a wasteful number, since it uses less digits than its factorization.

505352342250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12414 (or 12401 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 36.

Adding to 505352342250 its reverse (52243253505), we get a palindrome (557595595755).

The spelling of 505352342250 in words is "five hundred five billion, three hundred fifty-two million, three hundred forty-two thousand, two hundred fifty".