63128512 has 56 divisors (see below), whose sum is σ = 131344416. Its totient is φ = 30071808.

The previous prime is 63128509. The next prime is 63128521. The reversal of 63128512 is 21582136.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 125253 + ... + 125755.

It is an arithmetic number, because the mean of its divisors is an integer number (2345436).

Almost surely, 2^63128512 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 63128512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65672208).

63128512 is an abundant number, since it is smaller than the sum of its proper divisors (68215904).

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

63128512 is a wasteful number, since it uses less digits than its factorization.

63128512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 595 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The square root of 63128512 is about 7945.3453040129. The cubic root of 63128512 is about 398.1760960767.

The spelling of 63128512 in words is "sixty-three million, one hundred twenty-eight thousand, five hundred twelve".