25085000 has 80 divisors (see below), whose sum is σ = 61152300. Its totient is φ = 9632000.

The previous prime is 25084991. The next prime is 25085003. The reversal of 25085000 is 58052.

25085000 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 10 ways, for example, as 24964 + 25060036 = 158^2 + 5006^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (25085003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 144914 + ... + 145086.

Almost surely, 2^25085000 is an apocalyptic number.

25085000 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 25085000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30576150).

25085000 is an abundant number, since it is smaller than the sum of its proper divisors (36067300).

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

25085000 is a wasteful number, since it uses less digits than its factorization.

25085000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 25085000 is about 5008.4927872565. The cubic root of 25085000 is about 292.7327876323.

The spelling of 25085000 in words is "twenty-five million, eighty-five thousand".