25253620 has 72 divisors (see below), whose sum is σ = 62713224. Its totient is φ = 8515584.

The previous prime is 25253611. The next prime is 25253629. The reversal of 25253620 is 2635252.

It is an interprime number because it is at equal distance from previous prime (25253611) and next prime (25253629).

It can be written as a sum of positive squares in 4 ways, for example, as 2328676 + 22924944 = 1526^2 + 4788^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25253629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71364 + ... + 71716.

It is an arithmetic number, because the mean of its divisors is an integer number (871017).

Almost surely, 2^25253620 is an apocalyptic number.

25253620 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 25253620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31356612).

25253620 is an abundant number, since it is smaller than the sum of its proper divisors (37459604).

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

25253620 is a wasteful number, since it uses less digits than its factorization.

25253620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 25253620 is about 5025.2980011140. The cubic root of 25253620 is about 293.3872346999.

Adding to 25253620 its reverse (2635252), we get a palindrome (27888872).

The spelling of 25253620 in words is "twenty-five million, two hundred fifty-three thousand, six hundred twenty".