251985288 has 64 divisors (see below), whose sum is σ = 668813760. Its totient is φ = 78841856.

The previous prime is 251985257. The next prime is 251985299. The reversal of 251985288 is 882589152.

251985288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229156 + ... + 230252.

It is an arithmetic number, because the mean of its divisors is an integer number (10450215).

Almost surely, 2^251985288 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 251985288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334406880).

251985288 is an abundant number, since it is smaller than the sum of its proper divisors (416828472).

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

251985288 is a wasteful number, since it uses less digits than its factorization.

251985288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 1682 counting only the distinct ones).

The product of its digits is 460800, while the sum is 48.

The square root of 251985288 is about 15874.0444751802. The cubic root of 251985288 is about 631.6236676901.

The spelling of 251985288 in words is "two hundred fifty-one million, nine hundred eighty-five thousand, two hundred eighty-eight".