25633152 has 64 divisors (see below), whose sum is σ = 75663600. Its totient is φ = 8543232.

The previous prime is 25633151. The next prime is 25633207. The reversal of 25633152 is 25133652.

25633152 is a `hidden beast` number, since 25 + 633 + 1 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25633151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253 + ... + 7164.

Almost surely, 2^25633152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25633152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37831800).

25633152 is an abundant number, since it is smaller than the sum of its proper divisors (50030448).

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

25633152 is an equidigital number, since it uses as much as digits as its factorization.

25633152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7440 (or 7422 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 25633152 is about 5062.9193159678. The cubic root of 25633152 is about 294.8496869010.

Subtracting from 25633152 its reverse (25133652), we obtain a triangular number (499500 = T₉₉₉).

The spelling of 25633152 in words is "twenty-five million, six hundred thirty-three thousand, one hundred fifty-two".