251116416 has 64 divisors (see below), whose sum is σ = 741152400. Its totient is φ = 83704320.

The previous prime is 251116409. The next prime is 251116429. The reversal of 251116416 is 614611152.

251116416 is a `hidden beast` number, since 2 + 5 + 1 + 11 + 641 + 6 = 666.

251116416 is digitally balanced in base 3, 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 (64).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 251116416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32875 + ... + 39786.

Almost surely, 2^251116416 is an apocalyptic number.

It is an amenable number.

251116416 is an abundant number, since it is smaller than the sum of its proper divisors (490035984).

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

251116416 is an equidigital number, since it uses as much as digits as its factorization.

251116416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72684 (or 72666 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 251116416 is about 15846.6531482203. The cubic root of 251116416 is about 630.8968632160.

Adding to 251116416 its reverse (614611152), we get a palindrome (865727568).

The spelling of 251116416 in words is "two hundred fifty-one million, one hundred sixteen thousand, four hundred sixteen".