251148872 has 36 divisors (see below), whose sum is σ = 511099785. Its totient is φ = 115645920.

The previous prime is 251148851. The next prime is 251148883. The reversal of 251148872 is 278841152.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

251148872 is digitally balanced in base 2, 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 214739716 + 36409156 = 14654^2 + 6034^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=11206.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 582497 + ... + 582927.

Almost surely, 2^251148872 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 251148872

251148872 is an abundant number, since it is smaller than the sum of its proper divisors (259950913).

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

251148872 is an equidigital number, since it uses as much as digits as its factorization.

251148872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 446 counting only the distinct ones).

The product of its digits is 35840, while the sum is 38.

The square root of 251148872 is about 15847.6771799529. The cubic root of 251148872 is about 630.9240425177.

It can be divided in two parts, 251148 and 872, that multiplied together give a triangular number (219001056 = T₂₀₉₂₈).

The spelling of 251148872 in words is "two hundred fifty-one million, one hundred forty-eight thousand, eight hundred seventy-two".