25305000 has 160 divisors (see below), whose sum is σ = 90720960. Its totient is φ = 5760000.

The previous prime is 25304999. The next prime is 25305001. The reversal of 25305000 is 50352.

It is an interprime number because it is at equal distance from previous prime (25304999) and next prime (25305001).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (25305001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 104880 + ... + 105120.

It is an arithmetic number, because the mean of its divisors is an integer number (567006).

Almost surely, 2^25305000 is an apocalyptic number.

25305000 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 25305000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45360480).

25305000 is an abundant number, since it is smaller than the sum of its proper divisors (65415960).

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

25305000 is a wasteful number, since it uses less digits than its factorization.

25305000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 15.

The square root of 25305000 is about 5030.4075381623. The cubic root of 25305000 is about 293.5860712035.

Adding to 25305000 its reverse (50352), we get a palindrome (25355352).

The spelling of 25305000 in words is "twenty-five million, three hundred five thousand".