2164564556013 has 8 divisors (see below), whose sum is σ = 2886218922400. Its totient is φ = 1442976613488.

The previous prime is 2164564555999. The next prime is 2164564556027. The reversal of 2164564556013 is 3106554654612.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2164564555999) and next prime (2164564556027).

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

It is not a de Polignac number, because 2164564556013 - 2¹⁶ = 2164564490477 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164564556513) 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, 16529878 + ... + 16660311.

It is an arithmetic number, because the mean of its divisors is an integer number (360777365300).

Almost surely, 2^{2164564556013} is an apocalyptic number.

It is an amenable number.

2164564556013 is a deficient number, since it is larger than the sum of its proper divisors (721654366387).

2164564556013 is a wasteful number, since it uses less digits than its factorization.

2164564556013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33211931.

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 2164564556013 in words is "two trillion, one hundred sixty-four billion, five hundred sixty-four million, five hundred fifty-six thousand, thirteen".