35851102281241 has 27 divisors (see below), whose sum is σ = 39012014361501. Its totient is φ = 32931301294944.

The previous prime is 35851102281229. The next prime is 35851102281259. The reversal of 35851102281241 is 14218220115853.

It is a happy number.

The square root of 35851102281241 is 5987579.

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

35851102281241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3252666355225 + 32598435926016 = 1803515^2 + 5709504^2 .

It is not a de Polignac number, because 35851102281241 - 2⁵ = 35851102281209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35851102281271) 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 26 ways as a sum of consecutive naturals, for example, 17669344615 + ... + 17669346643.

Almost surely, 2^{35851102281241} is an apocalyptic number.

35851102281241 is the 5987579-th square number.

35851102281241 is the 2993790-th centered octagonal number.

It is an amenable number.

35851102281241 is a deficient number, since it is larger than the sum of its proper divisors (3160912080260).

35851102281241 is an frugal number, since it uses more digits than its factorization.

35851102281241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4538 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 43.

The spelling of 35851102281241 in words is "thirty-five trillion, eight hundred fifty-one billion, one hundred two million, two hundred eighty-one thousand, two hundred forty-one".