25352000 has 56 divisors (see below), whose sum is σ = 62804040. Its totient is φ = 10137600.

The previous prime is 25351999. The next prime is 25352009. The reversal of 25352000 is 25352.

It can be written as a sum of positive squares in 4 ways, for example, as 30976 + 25321024 = 176^2 + 5032^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 25352000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25352009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6416 + ... + 9584.

Almost surely, 2^25352000 is an apocalyptic number.

25352000 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 25352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31402020).

25352000 is an abundant number, since it is smaller than the sum of its proper divisors (37452040).

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

25352000 is an equidigital number, since it uses as much as digits as its factorization.

25352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3196 (or 3176 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 25352000 is about 5035.0769606829. The cubic root of 25352000 is about 293.7677218824.

Adding to 25352000 its reverse (25352), we get a palindrome (25377352).

25352000 divided by its reverse (25352) gives a cube (1000 = 10³).

The spelling of 25352000 in words is "twenty-five million, three hundred fifty-two thousand".