25540013205 has 96 divisors (see below), whose sum is σ = 52638453504. Its totient is φ = 11637374976.

The previous prime is 25540013153. The next prime is 25540013207. The reversal of 25540013205 is 50231004552.

It is a happy number.

25540013205 is a `hidden beast` number, since 2 + 55 + 400 + 1 + 3 + 205 = 666.

It is not a de Polignac number, because 25540013205 - 2¹⁵ = 25539980437 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25540013207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2691349 + ... + 2700821.

It is an arithmetic number, because the mean of its divisors is an integer number (548317224).

Almost surely, 2^25540013205 is an apocalyptic number.

It is an amenable number.

25540013205 is an abundant number, since it is smaller than the sum of its proper divisors (27098440299).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25540013205 is an equidigital number, since it uses as much as digits as its factorization.

25540013205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9817 (or 9805 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 25540013205 its reverse (50231004552), we get a palindrome (75771017757).

The spelling of 25540013205 in words is "twenty-five billion, five hundred forty million, thirteen thousand, two hundred five".