251273216 has 56 divisors (see below), whose sum is σ = 516719820. Its totient is φ = 122093568.

The previous prime is 251273177. The next prime is 251273221. The reversal of 251273216 is 612372152.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 233967616 + 17305600 = 15296^2 + 4160^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 302690 + ... + 303518.

Almost surely, 2^251273216 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 251273216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258359910).

251273216 is an abundant number, since it is smaller than the sum of its proper divisors (265446604).

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

251273216 is an frugal number, since it uses more digits than its factorization.

251273216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 868 counting only the distinct ones).

The product of its digits is 5040, while the sum is 29.

The square root of 251273216 is about 15851.5997930808. The cubic root of 251273216 is about 631.0281489984.

The spelling of 251273216 in words is "two hundred fifty-one million, two hundred seventy-three thousand, two hundred sixteen".