25053952 has 144 divisors (see below), whose sum is σ = 65931264. Its totient is φ = 9216000.

The previous prime is 25053949. The next prime is 25053953. The reversal of 25053952 is 25935052.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (25053953) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 611052 + ... + 611092.

It is an arithmetic number, because the mean of its divisors is an integer number (457856).

Almost surely, 2^25053952 is an apocalyptic number.

25053952 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 25053952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32965632).

25053952 is an abundant number, since it is smaller than the sum of its proper divisors (40877312).

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

25053952 is a wasteful number, since it uses less digits than its factorization.

25053952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 31.

The square root of 25053952 is about 5005.3922923184. The cubic root of 25053952 is about 292.6119648307.

The spelling of 25053952 in words is "twenty-five million, fifty-three thousand, nine hundred fifty-two".