251151160 has 64 divisors (see below), whose sum is σ = 610908480. Its totient is φ = 92375040.

The previous prime is 251151143. The next prime is 251151169. The reversal of 251151160 is 61151152.

It is a happy number.

251151160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251151169) 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, 160944 + ... + 162496.

It is an arithmetic number, because the mean of its divisors is an integer number (9545445).

Almost surely, 2^251151160 is an apocalyptic number.

251151160 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 251151160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305454240).

251151160 is an abundant number, since it is smaller than the sum of its proper divisors (359757320).

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

251151160 is a wasteful number, since it uses less digits than its factorization.

251151160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1888 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 22.

The square root of 251151160 is about 15847.7493670237. The cubic root of 251151160 is about 630.9259584462.

The spelling of 251151160 in words is "two hundred fifty-one million, one hundred fifty-one thousand, one hundred sixty".