63125000 has 64 divisors (see below), whose sum is σ = 149413680. Its totient is φ = 25000000.

The previous prime is 63124987. The next prime is 63125009. The reversal of 63125000 is 52136.

It can be written as a sum of positive squares in 8 ways, for example, as 44063044 + 19061956 = 6638^2 + 4366^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 63125000.

It is not an unprimeable number, because it can be changed into a prime (63125009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 624950 + ... + 625050.

Almost surely, 2^63125000 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 63125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74706840).

63125000 is an abundant number, since it is smaller than the sum of its proper divisors (86288680).

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

63125000 is an frugal number, since it uses more digits than its factorization.

63125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 63125000 is about 7945.1242910354. The cubic root of 63125000 is about 398.1687120895.

Adding to 63125000 its reverse (52136), we get a palindrome (63177136).

The spelling of 63125000 in words is "sixty-three million, one hundred twenty-five thousand".