35116468587225 has 45 divisors (see below), whose sum is σ = 65048332811407. Its totient is φ = 18728641024560.

The previous prime is 35116468587199. The next prime is 35116468587227. The reversal of 35116468587225 is 52278586461153.

The square root of 35116468587225 is 5925915.

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

35116468587225 is a `hidden beast` number, since 3 + 5 + 1 + 1 + 6 + 46 + 8 + 587 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12641928691401 + 22474539895824 = 3555549^2 + 4740732^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 35116468587225 - 2¹³ = 35116468579033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35116468587227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 266600332 + ... + 266732018.

Almost surely, 2^{35116468587225} is an apocalyptic number.

35116468587225 is the 5925915-th square number.

35116468587225 is the 2962958-th centered octagonal number.

It is an amenable number.

35116468587225 is a deficient number, since it is larger than the sum of its proper divisors (29931864224182).

35116468587225 is an frugal number, since it uses more digits than its factorization.

35116468587225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263396 (or 131695 counting only the distinct ones).

The product of its digits is 96768000, while the sum is 63.

The spelling of 35116468587225 in words is "thirty-five trillion, one hundred sixteen billion, four hundred sixty-eight million, five hundred eighty-seven thousand, two hundred twenty-five".