251538048 has 96 divisors (see below), whose sum is σ = 750728160. Its totient is φ = 83835648.

The previous prime is 251538043. The next prime is 251538149. The reversal of 251538048 is 840835152.

It is a happy number.

251538048 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (251538043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27061 + ... + 35147.

It is an arithmetic number, because the mean of its divisors is an integer number (7820085).

Almost surely, 2^251538048 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 251538048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375364080).

251538048 is an abundant number, since it is smaller than the sum of its proper divisors (499190112).

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

251538048 is an frugal number, since it uses more digits than its factorization.

251538048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8116 (or 8092 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 251538048 is about 15859.9510718035. The cubic root of 251538048 is about 631.2497640361.

The spelling of 251538048 in words is "two hundred fifty-one million, five hundred thirty-eight thousand, forty-eight".