63052000 has 96 divisors (see below), whose sum is σ = 169120224. Its totient is φ = 22912000.

The previous prime is 63051971. The next prime is 63052001. The reversal of 63052000 is 25036.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63052001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43284 + ... + 44716.

It is an arithmetic number, because the mean of its divisors is an integer number (1761669).

Almost surely, 2^63052000 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 63052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84560112).

63052000 is an abundant number, since it is smaller than the sum of its proper divisors (106068224).

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

63052000 is a wasteful number, since it uses less digits than its factorization.

63052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 63052000 is about 7940.5289496355. The cubic root of 63052000 is about 398.0151673891.

Adding to 63052000 its reverse (25036), we get a palindrome (63077036).

The spelling of 63052000 in words is "sixty-three million, fifty-two thousand".