25012000 has 144 divisors (see below), whose sum is σ = 68343912. Its totient is φ = 8985600.

The previous prime is 25011997. The next prime is 25012003. The reversal of 25012000 is 21052.

It is an interprime number because it is at equal distance from previous prime (25011997) and next prime (25012003).

It can be written as a sum of positive squares in 12 ways, for example, as 3370896 + 21641104 = 1836^2 + 4652^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (25012003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 675982 + ... + 676018.

Almost surely, 2^25012000 is an apocalyptic number.

25012000 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 25012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34171956).

25012000 is an abundant number, since it is smaller than the sum of its proper divisors (43331912).

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

25012000 is a wasteful number, since it uses less digits than its factorization.

25012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 25012000 is about 5001.1998560345. The cubic root of 25012000 is about 292.4485506216.

Adding to 25012000 its reverse (21052), we get a palindrome (25033052).

The spelling of 25012000 in words is "twenty-five million, twelve thousand".