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25152 = 263131

25152 has 28 divisors (see below), whose sum is σ = 67056. Its totient is φ = 8320.

The previous prime is 25147. The next prime is 25153.

25152 is nontrivially palindromic in base 10.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (25153) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 127 + ... + 257.

225152 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 25152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33528).

25152 is an abundant number, since it is smaller than the sum of its proper divisors (41904).

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

25152 is a wasteful number, since it uses less digits than its factorization.

25152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 136 counting only the distinct ones).

The product of its digits is 100, while the sum is 15.

The square root of 25152 is about 158.5938208128. The cubic root of 25152 is about 29.2993177785.

Adding to 25152 its product of digits (100), we get a palindrome (25252).

Subtracting from 25152 its product of digits (100), we obtain a palindrome (25052).

It can be divided in two parts, 251 and 52, that added together give a palindrome (303).

The spelling of 25152 in words is "twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 131 192 262 393 524 786 1048 1572 2096 3144 4192 6288 8384 12576 25152