251555225248 has 48 divisors (see below), whose sum is σ = 512810887680. Its totient is φ = 121325734656.

The previous prime is 251555225171. The next prime is 251555225269. The reversal of 251555225248 is 842522555152.

251555225248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 251555225198 and 251555225207.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 858961 + ... + 1113967.

It is an arithmetic number, because the mean of its divisors is an integer number (10683560160).

Almost surely, 2^251555225248 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 251555225248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256405443840).

251555225248 is an abundant number, since it is smaller than the sum of its proper divisors (261255662432).

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

251555225248 is a wasteful number, since it uses less digits than its factorization.

251555225248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256109 (or 256101 counting only the distinct ones).

The product of its digits is 1600000, while the sum is 46.

The spelling of 251555225248 in words is "two hundred fifty-one billion, five hundred fifty-five million, two hundred twenty-five thousand, two hundred forty-eight".