25325652352 has 576 divisors, whose sum is σ = 74047569120. Its totient is φ = 8515584000.

The previous prime is 25325652347. The next prime is 25325652361.

25325652352 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 167719477 + ... + 167719627.

Almost surely, 2^25325652352 is an apocalyptic number.

25325652352 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 25325652352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37023784560).

25325652352 is an abundant number, since it is smaller than the sum of its proper divisors (48721916768).

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

25325652352 is a wasteful number, since it uses less digits than its factorization.

25325652352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 201 counting only the distinct ones).

The product of its digits is 540000, while the sum is 40.

It can be divided in two parts, 2532 and 5652352, that added together give a square (5654884 = 2378²).

The spelling of 25325652352 in words is "twenty-five billion, three hundred twenty-five million, six hundred fifty-two thousand, three hundred fifty-two".