25281040 has 80 divisors (see below), whose sum is σ = 64482480. Its totient is φ = 9175040.

The previous prime is 25281037. The next prime is 25281079. The reversal of 25281040 is 4018252.

It can be written as a sum of positive squares in 8 ways, for example, as 2547216 + 22733824 = 1596^2 + 4768^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39120 + ... + 39760.

It is an arithmetic number, because the mean of its divisors is an integer number (806031).

Almost surely, 2^25281040 is an apocalyptic number.

25281040 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 25281040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32241240).

25281040 is an abundant number, since it is smaller than the sum of its proper divisors (39201440).

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

25281040 is a wasteful number, since it uses less digits than its factorization.

25281040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 25281040 is about 5028.0254573739. The cubic root of 25281040 is about 293.4933814376.

Adding to 25281040 its reverse (4018252), we get a palindrome (29299292).

It can be divided in two parts, 252810 and 40, that multiplied together give a square (10112400 = 3180²).

The spelling of 25281040 in words is "twenty-five million, two hundred eighty-one thousand, forty".