505012000 has 96 divisors (see below), whose sum is σ = 1248234624. Its totient is φ = 200800000.

The previous prime is 505011953. The next prime is 505012021. The reversal of 505012000 is 210505.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1003749 + ... + 1004251.

It is an arithmetic number, because the mean of its divisors is an integer number (13002444).

Almost surely, 2^505012000 is an apocalyptic number.

505012000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624117312).

505012000 is an abundant number, since it is smaller than the sum of its proper divisors (743222624).

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

505012000 is a wasteful number, since it uses less digits than its factorization.

505012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 505012000 is about 22472.4720491538. The cubic root of 505012000 is about 796.3437317521.

Adding to 505012000 its reverse (210505), we get a palindrome (505222505).

The spelling of 505012000 in words is "five hundred five million, twelve thousand".