52002624 has 56 divisors (see below), whose sum is σ = 142044928. Its totient is φ = 16773120.

The previous prime is 52002607. The next prime is 52002641. The reversal of 52002624 is 42620025.

52002624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52002607) and next prime (52002641).

It is a self number, because there is not a number n which added to its sum of digits gives 52002624.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1584 + ... + 10320.

Almost surely, 2^52002624 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 52002624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71022464).

52002624 is an abundant number, since it is smaller than the sum of its proper divisors (90042304).

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

52002624 is a wasteful number, since it uses less digits than its factorization.

52002624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8783 (or 8773 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 52002624 is about 7211.2844902971. The cubic root of 52002624 is about 373.2573938513.

Adding to 52002624 its reverse (42620025), we get a palindrome (94622649).

The spelling of 52002624 in words is "fifty-two million, two thousand, six hundred twenty-four".