63505000 has 80 divisors (see below), whose sum is σ = 160401780. Its totient is φ = 23424000.

The previous prime is 63504989. The next prime is 63505009. The reversal of 63505000 is 50536.

It can be written as a sum of positive squares in 10 ways, for example, as 2883204 + 60621796 = 1698^2 + 7786^2 .

It is not an unprimeable number, because it can be changed into a prime (63505009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64512 + ... + 65488.

Almost surely, 2^63505000 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 63505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80200890).

63505000 is an abundant number, since it is smaller than the sum of its proper divisors (96896780).

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

63505000 is a wasteful number, since it uses less digits than its factorization.

63505000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 63505000 is about 7969.0024469817. The cubic root of 63505000 is about 398.9660798253.

Adding to 63505000 its reverse (50536), we get a palindrome (63555536).

The spelling of 63505000 in words is "sixty-three million, five hundred five thousand".