35207100013009 has 2 divisors, whose sum is σ = 35207100013010. Its totient is φ = 35207100013008.

The previous prime is 35207100012901. The next prime is 35207100013027. The reversal of 35207100013009 is 90031000170253.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26740326921025 + 8466773091984 = 5171105^2 + 2909772^2 .

It is a cyclic number.

It is not a de Polignac number, because 35207100013009 - 2¹¹ = 35207100010961 is a prime.

It is not a weakly prime, because it can be changed into another prime (35207100013109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17603550006504 + 17603550006505.

It is an arithmetic number, because the mean of its divisors is an integer number (17603550006505).

Almost surely, 2^{35207100013009} is an apocalyptic number.

It is an amenable number.

35207100013009 is a deficient number, since it is larger than the sum of its proper divisors (1).

35207100013009 is an equidigital number, since it uses as much as digits as its factorization.

35207100013009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5670, while the sum is 31.

The spelling of 35207100013009 in words is "thirty-five trillion, two hundred seven billion, one hundred million, thirteen thousand, nine".