35135445432001 has 2 divisors, whose sum is σ = 35135445432002. Its totient is φ = 35135445432000.

The previous prime is 35135445431963. The next prime is 35135445432007. The reversal of 35135445432001 is 10023454453153.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19626459390976 + 15508986041025 = 4430176^2 + 3938145^2 .

It is a cyclic number.

It is not a de Polignac number, because 35135445432001 - 2¹³ = 35135445423809 is a prime.

It is not a weakly prime, because it can be changed into another prime (35135445432007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17567722716000 + 17567722716001.

It is an arithmetic number, because the mean of its divisors is an integer number (17567722716001).

Almost surely, 2^{35135445432001} is an apocalyptic number.

It is an amenable number.

35135445432001 is a deficient number, since it is larger than the sum of its proper divisors (1).

35135445432001 is an equidigital number, since it uses as much as digits as its factorization.

35135445432001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432000, while the sum is 40.

Adding to 35135445432001 its reverse (10023454453153), we get a palindrome (45158899885154).

The spelling of 35135445432001 in words is "thirty-five trillion, one hundred thirty-five billion, four hundred forty-five million, four hundred thirty-two thousand, one".