25563622363201 has 64 divisors (see below), whose sum is σ = 29643898971456. Its totient is φ = 21835815321600.

The previous prime is 25563622363187. The next prime is 25563622363231. The reversal of 25563622363201 is 10236322636552.

It can be written as a sum of positive squares in 32 ways, for example, as 19579067430976 + 5984554932225 = 4424824^2 + 2446335^2 .

It is not a de Polignac number, because 25563622363201 - 2⁹ = 25563622362689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25563622363231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8351394211 + ... + 8351397271.

It is an arithmetic number, because the mean of its divisors is an integer number (463185921429).

Almost surely, 2^{25563622363201} is an apocalyptic number.

It is an amenable number.

25563622363201 is a deficient number, since it is larger than the sum of its proper divisors (4080276608255).

25563622363201 is a wasteful number, since it uses less digits than its factorization.

25563622363201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5782.

The product of its (nonzero) digits is 2332800, while the sum is 46.

Adding to 25563622363201 its reverse (10236322636552), we get a palindrome (35799944999753).

The spelling of 25563622363201 in words is "twenty-five trillion, five hundred sixty-three billion, six hundred twenty-two million, three hundred sixty-three thousand, two hundred one".