251506216 has 16 divisors (see below), whose sum is σ = 507849300. Its totient is φ = 116079744.

The previous prime is 251506207. The next prime is 251506231. The reversal of 251506216 is 612605152.

251506216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 235745316 + 15760900 = 15354^2 + 3970^2 .

It is a super-3 number, since 3×251506216³ (a number of 26 digits) contains 333 as substring.

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 3 ways as a sum of consecutive naturals, for example, 1209061 + ... + 1209268.

Almost surely, 2^251506216 is an apocalyptic number.

251506216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

251506216 is an abundant number, since it is smaller than the sum of its proper divisors (256343084).

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

251506216 is a wasteful number, since it uses less digits than its factorization.

251506216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418348 (or 2418344 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 251506216 is about 15858.9475060611. The cubic root of 251506216 is about 631.2231348107.

The spelling of 251506216 in words is "two hundred fifty-one million, five hundred six thousand, two hundred sixteen".