252020641320 has 576 divisors, whose sum is σ = 1006769761920. Its totient is φ = 53532969984.

The previous prime is 252020641273. The next prime is 252020641331. The reversal of 252020641320 is 23146020252.

It is a happy number.

252020641320 is a `hidden beast` number, since 2 + 5 + 20 + 206 + 413 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 48212547 + ... + 48217773.

It is an arithmetic number, because the mean of its divisors is an integer number (1747864170).

Almost surely, 2^252020641320 is an apocalyptic number.

252020641320 is a gapful number since it is divisible by the number (20) 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 252020641320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503384880960).

252020641320 is an abundant number, since it is smaller than the sum of its proper divisors (754749120600).

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

252020641320 is a wasteful number, since it uses less digits than its factorization.

252020641320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5342 (or 5316 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 252020641320 its reverse (23146020252), we get a palindrome (275166661572).

The spelling of 252020641320 in words is "two hundred fifty-two billion, twenty million, six hundred forty-one thousand, three hundred twenty".