251252000 has 96 divisors (see below), whose sum is σ = 644402304. Its totient is φ = 96096000.

The previous prime is 251251963. The next prime is 251252009. The reversal of 251252000 is 252152.

It is a self number, because there is not a number n which added to its sum of digits gives 251252000.

It is not an unprimeable number, because it can be changed into a prime (251252009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90635 + ... + 93365.

It is an arithmetic number, because the mean of its divisors is an integer number (6712524).

Almost surely, 2^251252000 is an apocalyptic number.

251252000 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 251252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322201152).

251252000 is an abundant number, since it is smaller than the sum of its proper divisors (393150304).

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

251252000 is a wasteful number, since it uses less digits than its factorization.

251252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779 (or 2761 counting only the distinct ones).

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

The square root of 251252000 is about 15850.9305720516. The cubic root of 251252000 is about 631.0103884239.

The spelling of 251252000 in words is "two hundred fifty-one million, two hundred fifty-two thousand".