25363133136352 has 96 divisors (see below), whose sum is σ = 54746329559040. Its totient is φ = 11470948984320.

The previous prime is 25363133136347. The next prime is 25363133136353.

25363133136352 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25363133136353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101922993 + ... + 102171535.

It is an arithmetic number, because the mean of its divisors is an integer number (570274266240).

Almost surely, 2^{25363133136352} is an apocalyptic number.

25363133136352 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 25363133136352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27373164779520).

25363133136352 is an abundant number, since it is smaller than the sum of its proper divisors (29383196422688).

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

25363133136352 is a wasteful number, since it uses less digits than its factorization.

25363133136352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250016 (or 250008 counting only the distinct ones).

The product of its digits is 2624400, while the sum is 46.

The spelling of 25363133136352 in words is "twenty-five trillion, three hundred sixty-three billion, one hundred thirty-three million, one hundred thirty-six thousand, three hundred fifty-two".