251041024 has 72 divisors (see below), whose sum is σ = 543618152. Its totient is φ = 115015680.

The previous prime is 251041013. The next prime is 251041031. The reversal of 251041024 is 420140152.

It can be written as a sum of positive squares in 4 ways, for example, as 135424 + 250905600 = 368^2 + 15840^2 .

It is a junction number, because it is equal to n+sod(n) for n = 251040992 and 251041010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 801892 + ... + 802204.

Almost surely, 2^251041024 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 251041024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271809076).

251041024 is an abundant number, since it is smaller than the sum of its proper divisors (292577128).

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

251041024 is a wasteful number, since it uses less digits than its factorization.

251041024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 251041024 is about 15844.2741708164. The cubic root of 251041024 is about 630.8337194122.

Adding to 251041024 its reverse (420140152), we get a palindrome (671181176).

It can be divided in two parts, 2510 and 41024, that added together give a palindrome (43534).

The spelling of 251041024 in words is "two hundred fifty-one million, forty-one thousand, twenty-four".