35364238701361 has 2 divisors, whose sum is σ = 35364238701362. Its totient is φ = 35364238701360.

The previous prime is 35364238701313. The next prime is 35364238701367. The reversal of 35364238701361 is 16310783246353.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20927514115600 + 14436724585761 = 4574660^2 + 3799569^2 .

It is an emirp because it is prime and its reverse (16310783246353) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 35364238701361 - 2²⁹ = 35363701830449 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 35364238701299 and 35364238701308.

It is not a weakly prime, because it can be changed into another prime (35364238701367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17682119350680 + 17682119350681.

It is an arithmetic number, because the mean of its divisors is an integer number (17682119350681).

Almost surely, 2^{35364238701361} is an apocalyptic number.

It is an amenable number.

35364238701361 is a deficient number, since it is larger than the sum of its proper divisors (1).

35364238701361 is an equidigital number, since it uses as much as digits as its factorization.

35364238701361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6531840, while the sum is 52.

The spelling of 35364238701361 in words is "thirty-five trillion, three hundred sixty-four billion, two hundred thirty-eight million, seven hundred one thousand, three hundred sixty-one".