251250160 has 80 divisors (see below), whose sum is σ = 696669696. Its totient is φ = 82393344.

The previous prime is 251250151. The next prime is 251250163. The reversal of 251250160 is 61052152.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251250163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3127 + ... + 22633.

Almost surely, 2^251250160 is an apocalyptic number.

251250160 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 251250160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348334848).

251250160 is an abundant number, since it is smaller than the sum of its proper divisors (445419536).

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

251250160 is a wasteful number, since it uses less digits than its factorization.

251250160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19550 (or 19544 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 251250160 is about 15850.8725311889. The cubic root of 251250160 is about 631.0088480554.

The spelling of 251250160 in words is "two hundred fifty-one million, two hundred fifty thousand, one hundred sixty".