25252000 has 96 divisors (see below), whose sum is σ = 63685440. Its totient is φ = 9836800.

The previous prime is 25251983. The next prime is 25252013. The reversal of 25252000 is 25252.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 15 ways as a sum of consecutive naturals, for example, 235947 + ... + 236053.

It is an arithmetic number, because the mean of its divisors is an integer number (663390).

Almost surely, 2^25252000 is an apocalyptic number.

25252000 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 25252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31842720).

25252000 is an abundant number, since it is smaller than the sum of its proper divisors (38433440).

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

25252000 is a wasteful number, since it uses less digits than its factorization.

25252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 25252000 is about 5025.1368140579. The cubic root of 25252000 is about 293.3809610451.

Adding to 25252000 its reverse (25252), we get a palindrome (25277252).

25252000 divided by its reverse (25252) gives a cube (1000 = 10³).

The spelling of 25252000 in words is "twenty-five million, two hundred fifty-two thousand".