2565148601 has 2 divisors, whose sum is σ = 2565148602. Its totient is φ = 2565148600.

The previous prime is 2565148591. The next prime is 2565148609. The reversal of 2565148601 is 1068415652.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2430588601 + 134560000 = 49301^2 + 11600^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2565148601 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 (2565148609) 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, 1282574300 + 1282574301.

It is an arithmetic number, because the mean of its divisors is an integer number (1282574301).

Almost surely, 2^2565148601 is an apocalyptic number.

It is an amenable number.

2565148601 is a deficient number, since it is larger than the sum of its proper divisors (1).

2565148601 is an equidigital number, since it uses as much as digits as its factorization.

2565148601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 57600, while the sum is 38.

The square root of 2565148601 is about 50647.2960877479. The cubic root of 2565148601 is about 1368.8972248773.

The spelling of 2565148601 in words is "two billion, five hundred sixty-five million, one hundred forty-eight thousand, six hundred one".