1965617350385 has 32 divisors (see below), whose sum is σ = 2550538513152. Its totient is φ = 1445626448640.

The previous prime is 1965617350337. The next prime is 1965617350451. The reversal of 1965617350385 is 5830537165691.

It is not a de Polignac number, because 1965617350385 - 2²⁴ = 1965600573169 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16636970 + ... + 16754700.

It is an arithmetic number, because the mean of its divisors is an integer number (79704328536).

Almost surely, 2^{1965617350385} is an apocalyptic number.

It is an amenable number.

1965617350385 is a deficient number, since it is larger than the sum of its proper divisors (584921162767).

1965617350385 is a wasteful number, since it uses less digits than its factorization.

1965617350385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118793.

The product of its (nonzero) digits is 20412000, while the sum is 59.

The spelling of 1965617350385 in words is "one trillion, nine hundred sixty-five billion, six hundred seventeen million, three hundred fifty thousand, three hundred eighty-five".