656577601 has 2 divisors, whose sum is σ = 656577602. Its totient is φ = 656577600.

The previous prime is 656577599. The next prime is 656577641. The reversal of 656577601 is 106775656.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 655411201 + 1166400 = 25601^2 + 1080^2 .

It is a cyclic number.

It is not a de Polignac number, because 656577601 - 2¹ = 656577599 is a prime.

It is a super-2 number, since 2×656577601² = 862188292269830402, which contains 22 as substring.

Together with 656577599, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (656577641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 328288800 + 328288801.

It is an arithmetic number, because the mean of its divisors is an integer number (328288801).

Almost surely, 2^656577601 is an apocalyptic number.

It is an amenable number.

656577601 is a deficient number, since it is larger than the sum of its proper divisors (1).

656577601 is an equidigital number, since it uses as much as digits as its factorization.

656577601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 264600, while the sum is 43.

The square root of 656577601 is about 25623.7702339059. The cubic root of 656577601 is about 869.1512403161.

The spelling of 656577601 in words is "six hundred fifty-six million, five hundred seventy-seven thousand, six hundred one".