35105547502009 has 2 divisors, whose sum is σ = 35105547502010. Its totient is φ = 35105547502008.

The previous prime is 35105547501863. The next prime is 35105547502031. The reversal of 35105547502009 is 90020574550153.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35102781057600 + 2766444409 = 5924760^2 + 52597^2 .

It is a cyclic number.

It is not a de Polignac number, because 35105547502009 - 2³⁵ = 35071187763641 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 35105547502009.

It is not a weakly prime, because it can be changed into another prime (35105547502099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17552773751004 + 17552773751005.

It is an arithmetic number, because the mean of its divisors is an integer number (17552773751005).

Almost surely, 2^{35105547502009} is an apocalyptic number.

It is an amenable number.

35105547502009 is a deficient number, since it is larger than the sum of its proper divisors (1).

35105547502009 is an equidigital number, since it uses as much as digits as its factorization.

35105547502009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 945000, while the sum is 46.

The spelling of 35105547502009 in words is "thirty-five trillion, one hundred five billion, five hundred forty-seven million, five hundred two thousand, nine".