63112500 has 288 divisors, whose sum is σ = 236234880. Its totient is φ = 14400000.

The previous prime is 63112499. The next prime is 63112501. The reversal of 63112500 is 521136.

It is an interprime number because it is at equal distance from previous prime (63112499) and next prime (63112501).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63112501) 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 95 ways as a sum of consecutive naturals, for example, 3712492 + ... + 3712508.

It is an arithmetic number, because the mean of its divisors is an integer number (820260).

Almost surely, 2^63112500 is an apocalyptic number.

63112500 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63112500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118117440).

63112500 is an abundant number, since it is smaller than the sum of its proper divisors (173122380).

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

63112500 is a wasteful number, since it uses less digits than its factorization.

63112500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 63112500 is about 7944.3376061192. The cubic root of 63112500 is about 398.1424285913.

Adding to 63112500 its reverse (521136), we get a palindrome (63633636).

It can be divided in two parts, 631 and 12500, that added together give a palindrome (13131).

The spelling of 63112500 in words is "sixty-three million, one hundred twelve thousand, five hundred".