25538683553 has 8 divisors (see below), whose sum is σ = 25795561320. Its totient is φ = 25281884800.

The previous prime is 25538683501. The next prime is 25538683591. The reversal of 25538683553 is 35538683552.

It can be written as a sum of positive squares in 4 ways, for example, as 8185363729 + 17353319824 = 90473^2 + 131732^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 25538683553 - 2²⁴ = 25521906337 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 25538683495 and 25538683504.

It is not an unprimeable number, because it can be changed into a prime (25538683853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 799301 + ... + 830637.

It is an arithmetic number, because the mean of its divisors is an integer number (3224445165).

Almost surely, 2^25538683553 is an apocalyptic number.

It is an amenable number.

25538683553 is a deficient number, since it is larger than the sum of its proper divisors (256877767).

25538683553 is a wasteful number, since it uses less digits than its factorization.

25538683553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39507.

The product of its digits is 12960000, while the sum is 53.

Subtracting 25538683553 from its reverse (35538683552), we obtain a palindrome (9999999999).

The spelling of 25538683553 in words is "twenty-five billion, five hundred thirty-eight million, six hundred eighty-three thousand, five hundred fifty-three".