251101248 has 56 divisors (see below), whose sum is σ = 667390080. Its totient is φ = 83320320.

The previous prime is 251101243. The next prime is 251101267. The reversal of 251101248 is 842101152.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (251101241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41113 + ... + 46823.

It is an arithmetic number, because the mean of its divisors is an integer number (11917680).

Almost surely, 2^251101248 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 251101248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333695040).

251101248 is an abundant number, since it is smaller than the sum of its proper divisors (416288832).

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

251101248 is a wasteful number, since it uses less digits than its factorization.

251101248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5955 (or 5945 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 251101248 is about 15846.1745541314. The cubic root of 251101248 is about 630.8841604274.

The spelling of 251101248 in words is "two hundred fifty-one million, one hundred one thousand, two hundred forty-eight".