25416968329 has 9 divisors (see below), whose sum is σ = 25633534951. Its totient is φ = 25202220160.

The previous prime is 25416968303. The next prime is 25416968389. The reversal of 25416968329 is 92386961452.

The square root of 25416968329 is 159427.

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

It can be written as a sum of positive squares in only one way, i.e., 8529446025 + 16887522304 = 92355^2 + 129952^2 .

It is not a de Polignac number, because 25416968329 - 2⁹ = 25416967817 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 25416968329.

It is not an unprimeable number, because it can be changed into a prime (25416968389) 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 8 ways as a sum of consecutive naturals, for example, 20884329 + ... + 20885545.

Almost surely, 2^25416968329 is an apocalyptic number.

25416968329 is the 159427-th square number.

25416968329 is the 79714-th centered octagonal number.

It is an amenable number.

25416968329 is a deficient number, since it is larger than the sum of its proper divisors (216566622).

25416968329 is an frugal number, since it uses more digits than its factorization.

25416968329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2696 (or 1348 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 55.

The spelling of 25416968329 in words is "twenty-five billion, four hundred sixteen million, nine hundred sixty-eight thousand, three hundred twenty-nine".