10380665385217 has 8 divisors (see below), whose sum is σ = 10996379006472. Its totient is φ = 9765516902400.

The previous prime is 10380665385197. The next prime is 10380665385221. The reversal of 10380665385217 is 71258356608301.

It is a Cunningham number, because it is equal to 3221904²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1754925469696 + 8625739915521 = 1324736^2 + 2936961^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10380665385217 - 2²³ = 10380656996609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10380665335217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141246784 + ... + 141320257.

It is an arithmetic number, because the mean of its divisors is an integer number (1374547375809).

Almost surely, 2^{10380665385217} is an apocalyptic number.

10380665385217 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10380665385217 is a deficient number, since it is larger than the sum of its proper divisors (615713621255).

10380665385217 is a wasteful number, since it uses less digits than its factorization.

10380665385217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282569219.

The product of its (nonzero) digits is 7257600, while the sum is 55.

The spelling of 10380665385217 in words is "ten trillion, three hundred eighty billion, six hundred sixty-five million, three hundred eighty-five thousand, two hundred seventeen".