251041040 has 80 divisors (see below), whose sum is σ = 621803952. Its totient is φ = 93929472.

The previous prime is 251041039. The next prime is 251041079. The reversal of 251041040 is 40140152.

251041040 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 8 ways, for example, as 3671056 + 247369984 = 1916^2 + 15728^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267452 + ... + 268388.

Almost surely, 2^251041040 is an apocalyptic number.

251041040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310901976).

251041040 is an abundant number, since it is smaller than the sum of its proper divisors (370762912).

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

251041040 is a wasteful number, since it uses less digits than its factorization.

251041040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 251041040 is about 15844.2746757307. The cubic root of 251041040 is about 630.8337328141.

Adding to 251041040 its reverse (40140152), we get a palindrome (291181192).

The spelling of 251041040 in words is "two hundred fifty-one million, forty-one thousand, forty".