25001600 has 96 divisors (see below), whose sum is σ = 66623340. Its totient is φ = 9216000.

The previous prime is 25001597. The next prime is 25001609. The reversal of 25001600 is 610052.

It can be written as a sum of positive squares in 6 ways, for example, as 8809024 + 16192576 = 2968^2 + 4024^2 .

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25001609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41300 + ... + 41900.

Almost surely, 2^25001600 is an apocalyptic number.

25001600 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 25001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33311670).

25001600 is an abundant number, since it is smaller than the sum of its proper divisors (41621740).

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

25001600 is a wasteful number, since it uses less digits than its factorization.

25001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 25001600 is about 5000.1599974401. The cubic root of 25001600 is about 292.4080115927.

Adding to 25001600 its reverse (610052), we get a palindrome (25611652).

It can be divided in two parts, 2500 and 1600, that multiplied together give a square (4000000 = 2000²).

The spelling of 25001600 in words is "twenty-five million, one thousand, six hundred".