53005080528 has 120 divisors (see below), whose sum is σ = 153007258248. Its totient is φ = 17116655616.

The previous prime is 53005080511. The next prime is 53005080547. The reversal of 53005080528 is 82508050035.

53005080528 is a `hidden beast` number, since 5 + 3 + 0 + 0 + 50 + 80 + 528 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3448977984 + 49556102544 = 58728^2 + 222612^2 .

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 = 53005080492 and 53005080501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1220076 + ... + 1262772.

Almost surely, 2^53005080528 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 53005080528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76503629124).

53005080528 is an abundant number, since it is smaller than the sum of its proper divisors (100002177720).

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

53005080528 is a wasteful number, since it uses less digits than its factorization.

53005080528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42981 (or 42972 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 53005080528 in words is "fifty-three billion, five million, eighty thousand, five hundred twenty-eight".