25753082805 has 48 divisors (see below), whose sum is σ = 45878392560. Its totient is φ = 13354066944.

The previous prime is 25753082801. The next prime is 25753082813. The reversal of 25753082805 is 50828035752.

It can be written as a sum of positive squares in 8 ways, for example, as 14191242129 + 11561840676 = 119127^2 + 107526^2 .

It is not a de Polignac number, because 25753082805 - 2² = 25753082801 is a prime.

It is a super-2 number, since 2×25753082805² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25753082801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2674179 + ... + 2683791.

It is an arithmetic number, because the mean of its divisors is an integer number (955799845).

Almost surely, 2^25753082805 is an apocalyptic number.

It is an amenable number.

25753082805 is a deficient number, since it is larger than the sum of its proper divisors (20125309755).

25753082805 is a wasteful number, since it uses less digits than its factorization.

25753082805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11270 (or 11267 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 25753082805 in words is "twenty-five billion, seven hundred fifty-three million, eighty-two thousand, eight hundred five".