251091072 has 192 divisors, whose sum is σ = 763776000. Its totient is φ = 79073280.

The previous prime is 251091059. The next prime is 251091091. The reversal of 251091072 is 270190152.

251091072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2821204 + ... + 2821292.

It is an arithmetic number, because the mean of its divisors is an integer number (3978000).

Almost surely, 2^251091072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251091072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381888000).

251091072 is an abundant number, since it is smaller than the sum of its proper divisors (512684928).

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

251091072 is a wasteful number, since it uses less digits than its factorization.

251091072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 251091072 is about 15845.8534639192. The cubic root of 251091072 is about 630.8756380166.

The spelling of 251091072 in words is "two hundred fifty-one million, ninety-one thousand, seventy-two".