252131155200 has 324 divisors, whose sum is σ = 948873365440. Its totient is φ = 63696015360.

The previous prime is 252131155183. The next prime is 252131155207. The reversal of 252131155200 is 2551131252.

252131155200 is a `hidden beast` number, since 2 + 5 + 2 + 131 + 1 + 5 + 520 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252131155207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 979209 + ... + 1209591.

Almost surely, 2^252131155200 is an apocalyptic number.

252131155200 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 252131155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474436682720).

252131155200 is an abundant number, since it is smaller than the sum of its proper divisors (696742210240).

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

252131155200 is a wasteful number, since it uses less digits than its factorization.

252131155200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230434 (or 230412 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 252131155200 its reverse (2551131252), we get a palindrome (254682286452).

The spelling of 252131155200 in words is "two hundred fifty-two billion, one hundred thirty-one million, one hundred fifty-five thousand, two hundred".