25953000 has 128 divisors (see below), whose sum is σ = 83341440. Its totient is φ = 6720000.

The previous prime is 25952989. The next prime is 25953007. The reversal of 25953000 is 35952.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (25953007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122895 + ... + 123105.

It is an arithmetic number, because the mean of its divisors is an integer number (651105).

Almost surely, 2^25953000 is an apocalyptic number.

25953000 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 25953000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41670720).

25953000 is an abundant number, since it is smaller than the sum of its proper divisors (57388440).

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

25953000 is a wasteful number, since it uses less digits than its factorization.

25953000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 25953000 is about 5094.4086997413. The cubic root of 25953000 is about 296.0709897908.

Adding to 25953000 its reverse (35952), we get a palindrome (25988952).

The spelling of 25953000 in words is "twenty-five million, nine hundred fifty-three thousand".