251012200 has 48 divisors (see below), whose sum is σ = 586748160. Its totient is φ = 99864000.

The previous prime is 251012183. The next prime is 251012207. The reversal of 251012200 is 2210152.

251012200 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (251012207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34915 + ... + 41485.

It is an arithmetic number, because the mean of its divisors is an integer number (12223920).

Almost surely, 2^251012200 is an apocalyptic number.

251012200 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 251012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293374080).

251012200 is an abundant number, since it is smaller than the sum of its proper divisors (335735960).

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

251012200 is a wasteful number, since it uses less digits than its factorization.

251012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6778 (or 6769 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 251012200 is about 15843.3645416622. The cubic root of 251012200 is about 630.8095748231.

Adding to 251012200 its reverse (2210152), we get a palindrome (253222352).

The spelling of 251012200 in words is "two hundred fifty-one million, twelve thousand, two hundred".