2565600601 has 2 divisors, whose sum is σ = 2565600602. Its totient is φ = 2565600600.

The previous prime is 2565600599. The next prime is 2565600613. The reversal of 2565600601 is 1060065652.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1892250000 + 673350601 = 43500^2 + 25949^2 .

It is a cyclic number.

It is not a de Polignac number, because 2565600601 - 2¹ = 2565600599 is a prime.

It is a super-2 number, since 2×2565600601² = 13164612887703122402, which contains 22 as substring.

Together with 2565600599, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2565600671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1282800300 + 1282800301.

It is an arithmetic number, because the mean of its divisors is an integer number (1282800301).

Almost surely, 2^2565600601 is an apocalyptic number.

It is an amenable number.

2565600601 is a deficient number, since it is larger than the sum of its proper divisors (1).

2565600601 is an equidigital number, since it uses as much as digits as its factorization.

2565600601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 2565600601 is about 50651.7581234847. The cubic root of 2565600601 is about 1368.9776237551.

The spelling of 2565600601 in words is "two billion, five hundred sixty-five million, six hundred thousand, six hundred one".