25933952 has 64 divisors (see below), whose sum is σ = 57209760. Its totient is φ = 11612160.

The previous prime is 25933951. The next prime is 25933961.

25933952 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25933951) 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, 159023 + ... + 159185.

Almost surely, 2^25933952 is an apocalyptic number.

25933952 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 25933952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28604880).

25933952 is an abundant number, since it is smaller than the sum of its proper divisors (31275808).

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

25933952 is a wasteful number, since it uses less digits than its factorization.

25933952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 289 counting only the distinct ones).

The product of its digits is 72900, while the sum is 38.

The square root of 25933952 is about 5092.5388560128. The cubic root of 25933952 is about 295.9985390724.

The spelling of 25933952 in words is "twenty-five million, nine hundred thirty-three thousand, nine hundred fifty-two".