52152400000 has 192 divisors, whose sum is σ = 130643278920. Its totient is φ = 20736000000.

The previous prime is 52152399989. The next prime is 52152400049. The reversal of 52152400000 is 425125.

It can be written as a sum of positive squares in 12 ways, for example, as 19962298944 + 32190101056 = 141288^2 + 179416^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96399730 + ... + 96400270.

Almost surely, 2^52152400000 is an apocalyptic number.

52152400000 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 52152400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65321639460).

52152400000 is an abundant number, since it is smaller than the sum of its proper divisors (78490878920).

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

52152400000 is an frugal number, since it uses more digits than its factorization.

52152400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

Adding to 52152400000 its reverse (425125), we get a palindrome (52152825125).

The spelling of 52152400000 in words is "fifty-two billion, one hundred fifty-two million, four hundred thousand".