63125600 has 72 divisors (see below), whose sum is σ = 162255240. Its totient is φ = 23915520.

The previous prime is 63125561. The next prime is 63125617. The reversal of 63125600 is 652136.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13124 + ... + 17276.

It is an arithmetic number, because the mean of its divisors is an integer number (2253545).

Almost surely, 2^63125600 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 63125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81127620).

63125600 is an abundant number, since it is smaller than the sum of its proper divisors (99129640).

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

63125600 is a wasteful number, since it uses less digits than its factorization.

63125600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4192 (or 4179 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 63125600 is about 7945.1620499522. The cubic root of 63125600 is about 398.1699736101.

Adding to 63125600 its reverse (652136), we get a palindrome (63777736).

The spelling of 63125600 in words is "sixty-three million, one hundred twenty-five thousand, six hundred".