505201000 has 32 divisors (see below), whose sum is σ = 1182172680. Its totient is φ = 202080000.

The previous prime is 505200989. The next prime is 505201007. The reversal of 505201000 is 102505.

It can be written as a sum of positive squares in 4 ways, for example, as 145491844 + 359709156 = 12062^2 + 18966^2 .

It is not an unprimeable number, because it can be changed into a prime (505201007) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 251601 + ... + 253600.

Almost surely, 2^505201000 is an apocalyptic number.

505201000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505201000 is an abundant number, since it is smaller than the sum of its proper divisors (676971680).

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

505201000 is a wasteful number, since it uses less digits than its factorization.

505201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505222 (or 505208 counting only the distinct ones).

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

The square root of 505201000 is about 22476.6768006305. The cubic root of 505201000 is about 796.4430628527.

Adding to 505201000 its reverse (102505), we get a palindrome (505303505).

The spelling of 505201000 in words is "five hundred five million, two hundred one thousand".