601564961 has 2 divisors, whose sum is σ = 601564962. Its totient is φ = 601564960.

The previous prime is 601564939. The next prime is 601564963. The reversal of 601564961 is 169465106.

601564961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 406264336 + 195300625 = 20156^2 + 13975^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-601564961 is a prime.

Together with 601564963, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (601564963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 300782480 + 300782481.

It is an arithmetic number, because the mean of its divisors is an integer number (300782481).

Almost surely, 2^601564961 is an apocalyptic number.

It is an amenable number.

601564961 is a deficient number, since it is larger than the sum of its proper divisors (1).

601564961 is an equidigital number, since it uses as much as digits as its factorization.

601564961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 601564961 is about 24526.8212575539. The cubic root of 601564961 is about 844.1653282474.

The spelling of 601564961 in words is "six hundred one million, five hundred sixty-four thousand, nine hundred sixty-one".