63133000 has 128 divisors (see below), whose sum is σ = 175219200. Its totient is φ = 20832000.

The previous prime is 63132983. The next prime is 63133027. The reversal of 63133000 is 33136.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202845 + ... + 203155.

It is an arithmetic number, because the mean of its divisors is an integer number (1368900).

Almost surely, 2^63133000 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 63133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87609600).

63133000 is an abundant number, since it is smaller than the sum of its proper divisors (112086200).

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

63133000 is a wasteful number, since it uses less digits than its factorization.

63133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 63133000 is about 7945.6277285058. The cubic root of 63133000 is about 398.1855317074.

Adding to 63133000 its reverse (33136), we get a palindrome (63166136).

The spelling of 63133000 in words is "sixty-three million, one hundred thirty-three thousand".