2117745361 has 2 divisors, whose sum is σ = 2117745362. Its totient is φ = 2117745360.

The previous prime is 2117745359. The next prime is 2117745367. The reversal of 2117745361 is 1635477112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1264229136 + 853516225 = 35556^2 + 29215^2 .

It is a cyclic number.

It is not a de Polignac number, because 2117745361 - 2¹ = 2117745359 is a prime.

Together with 2117745359, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 2117745361.

It is not a weakly prime, because it can be changed into another prime (2117745367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1058872680 + 1058872681.

It is an arithmetic number, because the mean of its divisors is an integer number (1058872681).

Almost surely, 2^2117745361 is an apocalyptic number.

It is an amenable number.

2117745361 is a deficient number, since it is larger than the sum of its proper divisors (1).

2117745361 is an equidigital number, since it uses as much as digits as its factorization.

2117745361 is an evil number, because the sum of its binary digits is even.

The product of its digits is 35280, while the sum is 37.

The square root of 2117745361 is about 46018.9674047561. The cubic root of 2117745361 is about 1284.1760904139.

The spelling of 2117745361 in words is "two billion, one hundred seventeen million, seven hundred forty-five thousand, three hundred sixty-one".