54346588564313 has 2 divisors, whose sum is σ = 54346588564314. Its totient is φ = 54346588564312.

The previous prime is 54346588564271. The next prime is 54346588564339. The reversal of 54346588564313 is 31346588564345.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30183189929929 + 24163398634384 = 5493923^2 + 4915628^2 .

It is a cyclic number.

It is not a de Polignac number, because 54346588564313 - 2²⁶ = 54346521455449 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 54346588564313.

It is not a weakly prime, because it can be changed into another prime (54346588564613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27173294282156 + 27173294282157.

It is an arithmetic number, because the mean of its divisors is an integer number (27173294282157).

Almost surely, 2^{54346588564313} is an apocalyptic number.

It is an amenable number.

54346588564313 is a deficient number, since it is larger than the sum of its proper divisors (1).

54346588564313 is an equidigital number, since it uses as much as digits as its factorization.

54346588564313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 497664000, while the sum is 65.

The spelling of 54346588564313 in words is "fifty-four trillion, three hundred forty-six billion, five hundred eighty-eight million, five hundred sixty-four thousand, three hundred thirteen".