25242488424252 has 288 divisors, whose sum is σ = 73725075486720. Its totient is φ = 7458941318400.

The previous prime is 25242488424239. The next prime is 25242488424269.

25242488424252 is a `hidden beast` number, since 2 + 52 + 4 + 248 + 84 + 24 + 252 = 666.

25242488424252 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1182473443 + ... + 1182494789.

It is an arithmetic number, because the mean of its divisors is an integer number (255989845440).

Almost surely, 2^{25242488424252} is an apocalyptic number.

25242488424252 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 25242488424252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36862537743360).

25242488424252 is an abundant number, since it is smaller than the sum of its proper divisors (48482587062468).

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

25242488424252 is a wasteful number, since it uses less digits than its factorization.

25242488424252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23630 (or 23611 counting only the distinct ones).

The product of its digits is 26214400, while the sum is 54.

The spelling of 25242488424252 in words is "twenty-five trillion, two hundred forty-two billion, four hundred eighty-eight million, four hundred twenty-four thousand, two hundred fifty-two".