52002576 has 60 divisors (see below), whose sum is σ = 146240640. Its totient is φ = 17250240.

The previous prime is 52002569. The next prime is 52002581. The reversal of 52002576 is 67520025.

52002576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33661 + ... + 35171.

It is an arithmetic number, because the mean of its divisors is an integer number (2437344).

Almost surely, 2^52002576 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 52002576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73120320).

52002576 is an abundant number, since it is smaller than the sum of its proper divisors (94238064).

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

52002576 is a wasteful number, since it uses less digits than its factorization.

52002576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 52002576 is about 7211.2811621792. The cubic root of 52002576 is about 373.2572790086.

It can be divided in two parts, 5200 and 2576, that added together give a 5-th power (7776 = 6⁵).

The spelling of 52002576 in words is "fifty-two million, two thousand, five hundred seventy-six".