63005254128 has 60 divisors (see below), whose sum is σ = 177084067680. Its totient is φ = 20911603968.

The previous prime is 63005254093. The next prime is 63005254139. The reversal of 63005254128 is 82145250036.

63005254128 is a `hidden beast` number, since 6 + 3 + 0 + 0 + 525 + 4 + 128 = 666.

It is a super-2 number, since 2×63005254128² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 63005254092 and 63005254101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 905368 + ... + 972471.

It is an arithmetic number, because the mean of its divisors is an integer number (2951401128).

Almost surely, 2^63005254128 is an apocalyptic number.

It is an amenable number.

63005254128 is an abundant number, since it is smaller than the sum of its proper divisors (114078813552).

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

63005254128 is a wasteful number, since it uses less digits than its factorization.

63005254128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878086 (or 1878077 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 63005254128 in words is "sixty-three billion, five million, two hundred fifty-four thousand, one hundred twenty-eight".