35106416531441 has 2 divisors, whose sum is σ = 35106416531442. Its totient is φ = 35106416531440.

The previous prime is 35106416531437. The next prime is 35106416531467. The reversal of 35106416531441 is 14413561460153.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34340303203600 + 766113327841 = 5860060^2 + 875279^2 .

It is a cyclic number.

It is not a de Polignac number, because 35106416531441 - 2² = 35106416531437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 35106416531392 and 35106416531401.

It is not a weakly prime, because it can be changed into another prime (35106416537441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17553208265720 + 17553208265721.

It is an arithmetic number, because the mean of its divisors is an integer number (17553208265721).

Almost surely, 2^{35106416531441} is an apocalyptic number.

It is an amenable number.

35106416531441 is a deficient number, since it is larger than the sum of its proper divisors (1).

35106416531441 is an equidigital number, since it uses as much as digits as its factorization.

35106416531441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 518400, while the sum is 44.

Adding to 35106416531441 its reverse (14413561460153), we get a palindrome (49519977991594).

The spelling of 35106416531441 in words is "thirty-five trillion, one hundred six billion, four hundred sixteen million, five hundred thirty-one thousand, four hundred forty-one".