25105000 has 40 divisors (see below), whose sum is σ = 58832730. Its totient is φ = 10040000.

The previous prime is 25104953. The next prime is 25105019. The reversal of 25105000 is 50152.

It can be written as a sum of positive squares in 5 ways, for example, as 2883204 + 22221796 = 1698^2 + 4714^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×25105000² = 1260522050000000, which contains 22 as substring.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 2490 + ... + 7510.

It is a vampire number, since it can be written as 5000 ⋅ 5021 (with its own digits).

Almost surely, 2^25105000 is an apocalyptic number.

25105000 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 25105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29416365).

25105000 is an abundant number, since it is smaller than the sum of its proper divisors (33727730).

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

25105000 is an equidigital number, since it uses as much as digits as its factorization.

25105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5047 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 25105000 is about 5010.4889980919. The cubic root of 25105000 is about 292.8105645307.

Adding to 25105000 its reverse (50152), we get a palindrome (25155152).

The spelling of 25105000 in words is "twenty-five million, one hundred five thousand".