252512105200 has 120 divisors (see below), whose sum is σ = 644243252400. Its totient is φ = 94841671680.

The previous prime is 252512105189. The next prime is 252512105207. The reversal of 252512105200 is 2501215252.

It is a super-3 number, since 3×252512105200³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252512105207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 711786 + ... + 1005814.

It is an arithmetic number, because the mean of its divisors is an integer number (5368693770).

Almost surely, 2^252512105200 is an apocalyptic number.

252512105200 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 252512105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322121626200).

252512105200 is an abundant number, since it is smaller than the sum of its proper divisors (391731147200).

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

252512105200 is a wasteful number, since it uses less digits than its factorization.

252512105200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294179 (or 294168 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The spelling of 252512105200 in words is "two hundred fifty-two billion, five hundred twelve million, one hundred five thousand, two hundred".