5210334000252 has 144 divisors (see below), whose sum is σ = 13590404886240. Its totient is φ = 1682387366400.

The previous prime is 5210334000163. The next prime is 5210334000269. The reversal of 5210334000252 is 2520004330125.

It is a happy number.

5210334000252 is a `hidden beast` number, since 5 + 2 + 1 + 0 + 3 + 3 + 400 + 0 + 252 = 666.

It is a super-3 number, since 3×5210334000252³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47949102 + ... + 48057642.

It is an arithmetic number, because the mean of its divisors is an integer number (94377811710).

Almost surely, 2^{5210334000252} 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 5210334000252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6795202443120).

5210334000252 is an abundant number, since it is smaller than the sum of its proper divisors (8380070885988).

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

5210334000252 is a wasteful number, since it uses less digits than its factorization.

5210334000252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108924 (or 108919 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 5210334000252 its reverse (2520004330125), we get a palindrome (7730338330377).

The spelling of 5210334000252 in words is "five trillion, two hundred ten billion, three hundred thirty-four million, two hundred fifty-two", and thus it is an aban number.