52002000 has 240 divisors, whose sum is σ = 190112832. Its totient is φ = 13737600.

The previous prime is 52001977. The next prime is 52002019. The reversal of 52002000 is 20025.

52002000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 47 ways as a sum of consecutive naturals, for example, 485947 + ... + 486053.

Almost surely, 2^52002000 is an apocalyptic number.

52002000 is a gapful number since it is divisible by the number (50) 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 52002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95056416).

52002000 is an abundant number, since it is smaller than the sum of its proper divisors (138110832).

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

52002000 is a wasteful number, since it uses less digits than its factorization.

52002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 52002000 is about 7211.2412246436. The cubic root of 52002000 is about 373.2559008911.

Adding to 52002000 its reverse (20025), we get a palindrome (52022025).

The spelling of 52002000 in words is "fifty-two million, two thousand", and thus it is an eban number.