2117067066513 has 48 divisors (see below), whose sum is σ = 3566503408000. Its totient is φ = 1209637527840.

The previous prime is 2117067066511. The next prime is 2117067066529. The reversal of 2117067066513 is 3156607607112.

2117067066513 is a `hidden beast` number, since 2 + 1 + 1 + 7 + 0 + 6 + 70 + 66 + 513 = 666.

It is not a de Polignac number, because 2117067066513 - 2¹ = 2117067066511 is a prime.

It is a super-2 number, since 2×2117067066513² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2117067066511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40632843 + ... + 40684911.

Almost surely, 2^{2117067066513} is an apocalyptic number.

It is an amenable number.

2117067066513 is a deficient number, since it is larger than the sum of its proper divisors (1449436341487).

2117067066513 is a wasteful number, since it uses less digits than its factorization.

2117067066513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65267 (or 65250 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 2117067066513 in words is "two trillion, one hundred seventeen billion, sixty-seven million, sixty-six thousand, five hundred thirteen".