505181952 has 216 divisors, whose sum is σ = 1642787328. Its totient is φ = 147916800.

The previous prime is 505181947. The next prime is 505181977. The reversal of 505181952 is 259181505.

It is a happy number.

505181952 is a `hidden beast` number, since 50 + 518 + 1 + 95 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 785343 + ... + 785985.

Almost surely, 2^505181952 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 505181952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821393664).

505181952 is an abundant number, since it is smaller than the sum of its proper divisors (1137605376).

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

505181952 is a wasteful number, since it uses less digits than its factorization.

505181952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 36.

The square root of 505181952 is about 22476.2530685166. The cubic root of 505181952 is about 796.4330530822.

The spelling of 505181952 in words is "five hundred five million, one hundred eighty-one thousand, nine hundred fifty-two".