25583522653 has 16 divisors (see below), whose sum is σ = 27818430640. Its totient is φ = 23386973184.

The previous prime is 25583522651. The next prime is 25583522659. The reversal of 25583522653 is 35622538552.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 22867524 + 25560655129 = 4782^2 + 159877^2 .

It is a 5-Lehmer number, since φ(25583522653) divides (25583522653-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 25583522653 - 2¹ = 25583522651 is a prime.

It is the 159949-th Hogben number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25583522651) by changing a digit.

It is a nontrivial repunit in base 159948.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4011175 + ... + 4017547.

It is an arithmetic number, because the mean of its divisors is an integer number (1738651915).

It is a Poulet number, since it divides 2^25583522652-1.

Almost surely, 2^25583522653 is an apocalyptic number.

It is an amenable number.

25583522653 is a deficient number, since it is larger than the sum of its proper divisors (2234907987).

25583522653 is a wasteful number, since it uses less digits than its factorization.

25583522653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9328.

The product of its digits is 2160000, while the sum is 46.

The spelling of 25583522653 in words is "twenty-five billion, five hundred eighty-three million, five hundred twenty-two thousand, six hundred fifty-three".