25563934854241 has 81 divisors (see below), whose sum is σ = 31010409338643. Its totient is φ = 21012255351360.

The previous prime is 25563934854137. The next prime is 25563934854257. The reversal of 25563934854241 is 14245843936552.

It is a happy number.

The square root of 25563934854241 is 5056079.

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

It can be written as a sum of positive squares in only one way, i.e., 1231813636641 + 24332121217600 = 1109871^2 + 4932760^2 .

It is not a de Polignac number, because 25563934854241 - 2¹⁷ = 25563934723169 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 25563934854241.

It is not an unprimeable number, because it can be changed into a prime (25563934854541) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 114636479056 + ... + 114636479278.

Almost surely, 2^{25563934854241} is an apocalyptic number.

25563934854241 is the 5056079-th square number.

25563934854241 is the 2528040-th centered octagonal number.

It is an amenable number.

25563934854241 is a deficient number, since it is larger than the sum of its proper divisors (5446474484402).

25563934854241 is an frugal number, since it uses more digits than its factorization.

25563934854241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 350 counting only the distinct ones).

The product of its digits is 124416000, while the sum is 61.

The spelling of 25563934854241 in words is "twenty-five trillion, five hundred sixty-three billion, nine hundred thirty-four million, eight hundred fifty-four thousand, two hundred forty-one".