25711160409 has 81 divisors (see below), whose sum is σ = 42166020351. Its totient is φ = 15085445760.

The previous prime is 25711160369. The next prime is 25711160437. The reversal of 25711160409 is 90406111752.

The square root of 25711160409 is 160347.

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

25711160409 is a `hidden beast` number, since 25 + 71 + 1 + 160 + 409 = 666.

It can be written as a sum of positive squares in only one way, i.e., 453051225 + 25258109184 = 21285^2 + 158928^2 .

It is not a de Polignac number, because 25711160409 - 2¹⁹ = 25710636121 is a prime.

It is a super-2 number, since 2×25711160409² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (25711160509) 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 80 ways as a sum of consecutive naturals, for example, 227532337 + ... + 227532449.

Almost surely, 2^25711160409 is an apocalyptic number.

25711160409 is the 160347-th square number.

25711160409 is the 80174-th centered octagonal number.

It is an amenable number.

25711160409 is a deficient number, since it is larger than the sum of its proper divisors (16454859942).

25711160409 is a wasteful number, since it uses less digits than its factorization.

25711160409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

Multiplying 25711160409 by its sum of digits (36), we get a square (925601774724 = 962082²).

The spelling of 25711160409 in words is "twenty-five billion, seven hundred eleven million, one hundred sixty thousand, four hundred nine".