2117625641 has 2 divisors, whose sum is σ = 2117625642. Its totient is φ = 2117625640.

The previous prime is 2117625613. The next prime is 2117625647. The reversal of 2117625641 is 1465267112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1968785641 + 148840000 = 44371^2 + 12200^2 .

It is a cyclic number.

It is not a de Polignac number, because 2117625641 - 2²⁶ = 2050516777 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2117625647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1058812820 + 1058812821.

It is an arithmetic number, because the mean of its divisors is an integer number (1058812821).

Almost surely, 2^2117625641 is an apocalyptic number.

It is an amenable number.

2117625641 is a deficient number, since it is larger than the sum of its proper divisors (1).

2117625641 is an equidigital number, since it uses as much as digits as its factorization.

2117625641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20160, while the sum is 35.

The square root of 2117625641 is about 46017.6666183760. Note that the first 4 decimals coincide. The cubic root of 2117625641 is about 1284.1518910206.

The spelling of 2117625641 in words is "two billion, one hundred seventeen million, six hundred twenty-five thousand, six hundred forty-one".