25856523274761 has 9 divisors (see below), whose sum is σ = 37348333431591. Its totient is φ = 17237672013312.

The previous prime is 25856523274759. The next prime is 25856523274819. The reversal of 25856523274761 is 16747232565852.

The square root of 25856523274761 is 5084931.

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

25856523274761 is a `hidden beast` number, since 2 + 5 + 8 + 5 + 6 + 523 + 2 + 7 + 47 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16656560750025 + 9199962524736 = 4081245^2 + 3033144^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 25856523274761 - 2¹ = 25856523274759 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (25856523074761) 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, 14407305 + ... + 16102281.

Almost surely, 2^{25856523274761} is an apocalyptic number.

25856523274761 is the 5084931-st square number.

25856523274761 is the 2542466-th centered octagonal number.

It is an amenable number.

25856523274761 is a deficient number, since it is larger than the sum of its proper divisors (11491810156830).

25856523274761 is an frugal number, since it uses more digits than its factorization.

25856523274761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389960 (or 1694980 counting only the distinct ones).

The product of its digits is 169344000, while the sum is 63.

The spelling of 25856523274761 in words is "twenty-five trillion, eight hundred fifty-six billion, five hundred twenty-three million, two hundred seventy-four thousand, seven hundred sixty-one".