36005384949953 has 2 divisors, whose sum is σ = 36005384949954. Its totient is φ = 36005384949952.

The previous prime is 36005384949901. The next prime is 36005384950019. The reversal of 36005384949953 is 35994948350063.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19951123022224 + 16054261927729 = 4466668^2 + 4006777^2 .

It is a cyclic number.

It is not a de Polignac number, because 36005384949953 - 2⁸ = 36005384949697 is a prime.

It is not a weakly prime, because it can be changed into another prime (36005384909953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18002692474976 + 18002692474977.

It is an arithmetic number, because the mean of its divisors is an integer number (18002692474977).

Almost surely, 2^{36005384949953} is an apocalyptic number.

It is an amenable number.

36005384949953 is a deficient number, since it is larger than the sum of its proper divisors (1).

36005384949953 is an equidigital number, since it uses as much as digits as its factorization.

36005384949953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 377913600, while the sum is 68.

The spelling of 36005384949953 in words is "thirty-six trillion, five billion, three hundred eighty-four million, nine hundred forty-nine thousand, nine hundred fifty-three".