25580541713841 has 81 divisors (see below), whose sum is σ = 40769719153761. Its totient is φ = 16046166106368.

The previous prime is 25580541713833. The next prime is 25580541713899. The reversal of 25580541713841 is 14831714508552.

The square root of 25580541713841 is 5057721.

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

25580541713841 is a `hidden beast` number, since 2 + 5 + 5 + 8 + 0 + 541 + 7 + 13 + 84 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1358788880241 + 24221752833600 = 1165671^2 + 4921560^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 25580541713841 - 2³ = 25580541713833 is a prime.

It is a super-2 number, since 2×25580541713841² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25580541713641) 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, 6964479981 + ... + 6964483653.

Almost surely, 2^{25580541713841} is an apocalyptic number.

25580541713841 is the 5057721-st square number.

25580541713841 is the 2528861-st centered octagonal number.

It is an amenable number.

25580541713841 is a deficient number, since it is larger than the sum of its proper divisors (15189177439920).

25580541713841 is an frugal number, since it uses more digits than its factorization.

25580541713841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7404 (or 3693 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 25580541713841 in words is "twenty-five trillion, five hundred eighty billion, five hundred forty-one million, seven hundred thirteen thousand, eight hundred forty-one".