25654923974761 has 9 divisors (see below), whose sum is σ = 26021714946493. Its totient is φ = 25293232462540.

The previous prime is 25654923974699. The next prime is 25654923974789. The reversal of 25654923974761 is 16747932945652.

The square root of 25654923974761 is 5065069.

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

It is not a de Polignac number, because 25654923974761 - 2¹⁹ = 25654923450473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25654923974261) 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 8 ways as a sum of consecutive naturals, for example, 359584230 + ... + 359655568.

Almost surely, 2^{25654923974761} is an apocalyptic number.

25654923974761 is the 5065069-th square number.

25654923974761 is the 2532535-th centered octagonal number.

It is an amenable number.

25654923974761 is a deficient number, since it is larger than the sum of its proper divisors (366790971732).

25654923974761 is an frugal number, since it uses more digits than its factorization.

25654923974761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142820 (or 71410 counting only the distinct ones).

The product of its digits is 685843200, while the sum is 70.

The spelling of 25654923974761 in words is "twenty-five trillion, six hundred fifty-four billion, nine hundred twenty-three million, nine hundred seventy-four thousand, seven hundred sixty-one".