25941289969 has 45 divisors (see below), whose sum is σ = 32125349643. Its totient is φ = 20943344016.

The previous prime is 25941289967. The next prime is 25941289981. The reversal of 25941289969 is 96998214952.

The square root of 25941289969 is 161063.

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., 23597568225 + 2343721744 = 153615^2 + 48412^2 .

It is not a de Polignac number, because 25941289969 - 2¹ = 25941289967 is a prime.

It is a super-2 number, since 2×25941289969² (a number of 22 digits) contains 22 as substring.

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 25941289969.

It is not an unprimeable number, because it can be changed into a prime (25941289967) 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 44 ways as a sum of consecutive naturals, for example, 149949567 + ... + 149949739.

Almost surely, 2^25941289969 is an apocalyptic number.

25941289969 is the 161063-rd square number.

25941289969 is the 80532-nd centered octagonal number.

It is an amenable number.

25941289969 is a deficient number, since it is larger than the sum of its proper divisors (6184059674).

25941289969 is an frugal number, since it uses more digits than its factorization.

25941289969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 199 counting only the distinct ones).

The product of its digits is 25194240, while the sum is 64.

Multiplying 25941289969 by its sum of digits (64), we get a square (1660242558016 = 1288504²).

The spelling of 25941289969 in words is "twenty-five billion, nine hundred forty-one million, two hundred eighty-nine thousand, nine hundred sixty-nine".