63125120 has 64 divisors (see below), whose sum is σ = 153838440. Its totient is φ = 24760320.

The previous prime is 63125113. The next prime is 63125149. The reversal of 63125120 is 2152136.

It can be written as a sum of positive squares in 4 ways, for example, as 35331136 + 27793984 = 5944^2 + 5272^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 63125092 and 63125101.

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 7 ways as a sum of consecutive naturals, for example, 32990 + ... + 34850.

Almost surely, 2^63125120 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 63125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76919220).

63125120 is an abundant number, since it is smaller than the sum of its proper divisors (90713320).

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

63125120 is a wasteful number, since it uses less digits than its factorization.

63125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 63125120 is about 7945.1318428331. The cubic root of 63125120 is about 398.1689643942.

Adding to 63125120 its reverse (2152136), we get a palindrome (65277256).

The spelling of 63125120 in words is "sixty-three million, one hundred twenty-five thousand, one hundred twenty".