4005253520 has 80 divisors (see below), whose sum is σ = 9534889728. Its totient is φ = 1563970560.

The previous prime is 4005253517. The next prime is 4005253531. The reversal of 4005253520 is 253525004.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 4005253520.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1754780 + ... + 1757060.

Almost surely, 2^4005253520 is an apocalyptic number.

4005253520 is a gapful number since it is divisible by the number (40) 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 4005253520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4767444864).

4005253520 is an abundant number, since it is smaller than the sum of its proper divisors (5529636208).

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

4005253520 is a wasteful number, since it uses less digits than its factorization.

4005253520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 26.

The square root of 4005253520 is about 63287.0722975870. The cubic root of 4005253520 is about 1588.0957015418.

Adding to 4005253520 its reverse (253525004), we get a palindrome (4258778524).

The spelling of 4005253520 in words is "four billion, five million, two hundred fifty-three thousand, five hundred twenty".