25232823252 has 288 divisors, whose sum is σ = 81564537600. Its totient is φ = 6399461376.

The previous prime is 25232823211. The next prime is 25232823263.

25232823252 is a `hidden beast` number, since 2 + 5 + 2 + 328 + 2 + 325 + 2 = 666.

25232823252 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10786699 + ... + 10789037.

It is an arithmetic number, because the mean of its divisors is an integer number (283210200).

Almost surely, 2^25232823252 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 25232823252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40782268800).

25232823252 is an abundant number, since it is smaller than the sum of its proper divisors (56331714348).

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

25232823252 is a wasteful number, since it uses less digits than its factorization.

25232823252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2495 (or 2490 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The spelling of 25232823252 in words is "twenty-five billion, two hundred thirty-two million, eight hundred twenty-three thousand, two hundred fifty-two".