251516056 has 64 divisors (see below), whose sum is σ = 527990400. Its totient is φ = 111360000.

The previous prime is 251516029. The next prime is 251516081. The reversal of 251516056 is 650615152.

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 15 ways as a sum of consecutive naturals, for example, 1001931 + ... + 1002181.

It is an arithmetic number, because the mean of its divisors is an integer number (8249850).

Almost surely, 2^251516056 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 251516056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263995200).

251516056 is an abundant number, since it is smaller than the sum of its proper divisors (276474344).

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

251516056 is a wasteful number, since it uses less digits than its factorization.

251516056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 31.

The square root of 251516056 is about 15859.2577379901. The cubic root of 251516056 is about 631.2313667538.

The spelling of 251516056 in words is "two hundred fifty-one million, five hundred sixteen thousand, fifty-six".