252001250000 has 120 divisors (see below), whose sum is σ = 611676266136. Its totient is φ = 100576000000.

The previous prime is 252001249999. The next prime is 252001250021. The reversal of 252001250000 is 52100252.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 12 ways, for example, as 128043740224 + 123957509776 = 357832^2 + 352076^2 .

It is a congruent number.

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, 561249776 + ... + 561250224.

Almost surely, 2^252001250000 is an apocalyptic number.

252001250000 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 252001250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305838133068).

252001250000 is an abundant number, since it is smaller than the sum of its proper divisors (359675016136).

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

252001250000 is an frugal number, since it uses more digits than its factorization.

252001250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

Adding to 252001250000 its reverse (52100252), we get a palindrome (252053350252).

The spelling of 252001250000 in words is "two hundred fifty-two billion, one million, two hundred fifty thousand".