25441360987249 has 27 divisors (see below), whose sum is σ = 26706897011937. Its totient is φ = 24235137326400.

The previous prime is 25441360987223. The next prime is 25441360987313. The reversal of 25441360987249 is 94278906314452.

The square root of 25441360987249 is 5043943.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5954610202849 + 19486750784400 = 2440207^2 + 4414380^2 .

It is not a de Polignac number, because 25441360987249 - 2⁹ = 25441360986737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25441360987349) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8892470079 + ... + 8892472939.

It is a 1-persistent number, because it is pandigital, but 2⋅25441360987249 = 50882721974498 is not.

Almost surely, 2^{25441360987249} is an apocalyptic number.

25441360987249 is the 5043943-rd square number.

25441360987249 is the 2521972-nd centered octagonal number.

It is an amenable number.

25441360987249 is a deficient number, since it is larger than the sum of its proper divisors (1265536024688).

25441360987249 is an frugal number, since it uses more digits than its factorization.

25441360987249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5890 (or 2945 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 64.

The spelling of 25441360987249 in words is "twenty-five trillion, four hundred forty-one billion, three hundred sixty million, nine hundred eighty-seven thousand, two hundred forty-nine".