5664617641201 has 2 divisors, whose sum is σ = 5664617641202. Its totient is φ = 5664617641200.

The previous prime is 5664617641169. The next prime is 5664617641301. The reversal of 5664617641201 is 1021467164665.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5544725116176 + 119892525025 = 2354724^2 + 346255^2 .

It is a cyclic number.

It is not a de Polignac number, because 5664617641201 - 2⁵ = 5664617641169 is a prime.

It is not a weakly prime, because it can be changed into another prime (5664617641301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2832308820600 + 2832308820601.

It is an arithmetic number, because the mean of its divisors is an integer number (2832308820601).

Almost surely, 2^{5664617641201} is an apocalyptic number.

It is an amenable number.

5664617641201 is a deficient number, since it is larger than the sum of its proper divisors (1).

5664617641201 is an equidigital number, since it uses as much as digits as its factorization.

5664617641201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 5664617641201 in words is "five trillion, six hundred sixty-four billion, six hundred seventeen million, six hundred forty-one thousand, two hundred one".