252031252000 has 192 divisors, whose sum is σ = 679699133568. Its totient is φ = 91082880000.

The previous prime is 252031251917. The next prime is 252031252019. The reversal of 252031252000 is 252130252.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7154430 + ... + 7189570.

It is an arithmetic number, because the mean of its divisors is an integer number (3540099654).

Almost surely, 2^252031252000 is an apocalyptic number.

252031252000 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 252031252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339849566784).

252031252000 is an abundant number, since it is smaller than the sum of its proper divisors (427667881568).

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

252031252000 is a wasteful number, since it uses less digits than its factorization.

252031252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35340 (or 35322 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

Adding to 252031252000 its reverse (252130252), we get a palindrome (252283382252).

The spelling of 252031252000 in words is "two hundred fifty-two billion, thirty-one million, two hundred fifty-two thousand".