25738747489 has 81 divisors (see below), whose sum is σ = 34022156409. Its totient is φ = 19405975680.

The previous prime is 25738747483. The next prime is 25738747513. The reversal of 25738747489 is 98474783752.

The square root of 25738747489 is 160433.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 17143974225 + 8594773264 = 130935^2 + 92708^2 .

It is not a de Polignac number, because 25738747489 - 2²⁹ = 25201876577 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 25738747489.

It is not an unprimeable number, because it can be changed into a prime (25738747483) 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 80 ways as a sum of consecutive naturals, for example, 598575502 + ... + 598575544.

Almost surely, 2^25738747489 is an apocalyptic number.

25738747489 is the 160433-rd square number.

25738747489 is the 80217-th centered octagonal number.

It is an amenable number.

25738747489 is a deficient number, since it is larger than the sum of its proper divisors (8283408920).

25738747489 is an equidigital number, since it uses as much as digits as its factorization.

25738747489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 104 counting only the distinct ones).

The product of its digits is 94832640, while the sum is 64.

Multiplying 25738747489 by its sum of digits (64), we get a square (1647279839296 = 1283464²).

The spelling of 25738747489 in words is "twenty-five billion, seven hundred thirty-eight million, seven hundred forty-seven thousand, four hundred eighty-nine".