35135505205441 has 9 divisors (see below), whose sum is σ = 35199930614121. Its totient is φ = 35071197530112.

The previous prime is 35135505205439. The next prime is 35135505205627. The reversal of 35135505205441 is 14450250553153.

The square root of 35135505205441 is 5927521.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5584104551041 + 29551400654400 = 2363071^2 + 5436120^2 .

It is not a de Polignac number, because 35135505205441 - 2¹ = 35135505205439 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35135505245441) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3420174481 + ... + 3420184753.

It is an arithmetic number, because the mean of its divisors is an integer number (3911103401569).

Almost surely, 2^{35135505205441} is an apocalyptic number.

35135505205441 is the 5927521-st square number.

35135505205441 is the 2963761-st centered octagonal number.

It is an amenable number.

35135505205441 is a deficient number, since it is larger than the sum of its proper divisors (64425408680).

35135505205441 is an frugal number, since it uses more digits than its factorization.

35135505205441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21700 (or 10850 counting only the distinct ones).

The product of its (nonzero) digits is 900000, while the sum is 43.

Adding to 35135505205441 its reverse (14450250553153), we get a palindrome (49585755758594).

The spelling of 35135505205441 in words is "thirty-five trillion, one hundred thirty-five billion, five hundred five million, two hundred five thousand, four hundred forty-one".