25182433428152 has 64 divisors (see below), whose sum is σ = 63396335923200. Its totient is φ = 9056619411840.

The previous prime is 25182433428151. The next prime is 25182433428167.

25182433428152 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×25182433428152⁴ (a number of 55 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 25182433428152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25182433428151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1572321752 + ... + 1572337767.

It is an arithmetic number, because the mean of its divisors is an integer number (990567748800).

Almost surely, 2^{25182433428152} is an apocalyptic number.

25182433428152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

25182433428152 is an abundant number, since it is smaller than the sum of its proper divisors (38213902495048).

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

25182433428152 is a wasteful number, since it uses less digits than its factorization.

25182433428152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3144659556 (or 3144659552 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 50.

The spelling of 25182433428152 in words is "twenty-five trillion, one hundred eighty-two billion, four hundred thirty-three million, four hundred twenty-eight thousand, one hundred fifty-two".