25205000 has 60 divisors (see below), whose sum is σ = 59898795. Its totient is φ = 9940000.

The previous prime is 25204979. The next prime is 25205023. The reversal of 25205000 is 50252.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 5827396 + 19377604 = 2414^2 + 4402^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=3550.

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 14 ways as a sum of consecutive naturals, for example, 354965 + ... + 355035.

Almost surely, 2^25205000 is an apocalyptic number.

25205000 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 25205000

25205000 is an abundant number, since it is smaller than the sum of its proper divisors (34693795).

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

25205000 is an frugal number, since it uses more digits than its factorization.

25205000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 25205000 is about 5020.4581464245. The cubic root of 25205000 is about 293.1988306681.

Adding to 25205000 its reverse (50252), we get a palindrome (25255252).

The spelling of 25205000 in words is "twenty-five million, two hundred five thousand".