25133152 has 36 divisors (see below), whose sum is σ = 54396468. Its totient is φ = 11422400.

The previous prime is 25133131. The next prime is 25133177.

25133152 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 627 + ... + 7117.

It is an arithmetic number, because the mean of its divisors is an integer number (1511013).

Almost surely, 2^25133152 is an apocalyptic number.

25133152 is a gapful number since it is divisible by the number (22) 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 25133152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27198234).

25133152 is an abundant number, since it is smaller than the sum of its proper divisors (29263316).

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

25133152 is a wasteful number, since it uses less digits than its factorization.

25133152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6523 (or 6504 counting only the distinct ones).

The product of its digits is 900, while the sum is 22.

The square root of 25133152 is about 5013.2975176026. The cubic root of 25133152 is about 292.9199733298.

It can be divided in two parts, 2513 and 3152, that added together give a palindrome (5665).

The spelling of 25133152 in words is "twenty-five million, one hundred thirty-three thousand, one hundred fifty-two".