25654749241 has 9 divisors (see below), whose sum is σ = 28200958639. Its totient is φ = 23320897600.

The previous prime is 25654749187. The next prime is 25654749257. The reversal of 25654749241 is 14294745652.

The square root of 25654749241 is 160171.

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., 22913179641 + 2741569600 = 151371^2 + 52360^2 .

It is a de Polignac number, because none of the positive numbers 2^k-25654749241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25654749271) 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, 1754601 + ... + 1769161.

Almost surely, 2^25654749241 is an apocalyptic number.

25654749241 is the 160171-st square number.

25654749241 is the 80086-th centered octagonal number.

It is an amenable number.

25654749241 is a deficient number, since it is larger than the sum of its proper divisors (2546209398).

25654749241 is an frugal number, since it uses more digits than its factorization.

25654749241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29144 (or 14572 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 49.

Multiplying 25654749241 by its sum of digits (49), we get a square (1257082712809 = 1121197²).

The spelling of 25654749241 in words is "twenty-five billion, six hundred fifty-four million, seven hundred forty-nine thousand, two hundred forty-one".