25907905289 has 12 divisors (see below), whose sum is σ = 30872837268. Its totient is φ = 21665145600.

The previous prime is 25907905277. The next prime is 25907905307. The reversal of 25907905289 is 98250970952.

It can be written as a sum of positive squares in 2 ways, for example, as 10669237264 + 15238668025 = 103292^2 + 123445^2 .

It is not a de Polignac number, because 25907905289 - 2¹⁶ = 25907839753 is a prime.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (25907905229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6445952 + ... + 6449969.

It is an arithmetic number, because the mean of its divisors is an integer number (2572736439).

Almost surely, 2^25907905289 is an apocalyptic number.

It is an amenable number.

25907905289 is a deficient number, since it is larger than the sum of its proper divisors (4964931979).

25907905289 is a wasteful number, since it uses less digits than its factorization.

25907905289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12895976 (or 12895969 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 56.

The spelling of 25907905289 in words is "twenty-five billion, nine hundred seven million, nine hundred five thousand, two hundred eighty-nine".