25253051283328 has 192 divisors, whose sum is σ = 56148219182160. Its totient is φ = 11302349414400.

The previous prime is 25253051283311. The next prime is 25253051283367. The reversal of 25253051283328 is 82338215035252.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3375621348 + ... + 3375628828.

Almost surely, 2^{25253051283328} 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 25253051283328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28074109591080).

25253051283328 is an abundant number, since it is smaller than the sum of its proper divisors (30895167898832).

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

25253051283328 is a wasteful number, since it uses less digits than its factorization.

25253051283328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10837 (or 10814 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 49.

The spelling of 25253051283328 in words is "twenty-five trillion, two hundred fifty-three billion, fifty-one million, two hundred eighty-three thousand, three hundred twenty-eight".