2265099308201 has 2 divisors, whose sum is σ = 2265099308202. Its totient is φ = 2265099308200.

The previous prime is 2265099308183. The next prime is 2265099308203. The reversal of 2265099308201 is 1028039905622.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2246521345600 + 18577962601 = 1498840^2 + 136301^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2265099308201 is a prime.

It is a Sophie Germain prime.

Together with 2265099308203, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2265099308203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1132549654100 + 1132549654101.

It is an arithmetic number, because the mean of its divisors is an integer number (1132549654101).

Almost surely, 2^{2265099308201} is an apocalyptic number.

It is an amenable number.

2265099308201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2265099308201 is an equidigital number, since it uses as much as digits as its factorization.

2265099308201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 466560, while the sum is 47.

The spelling of 2265099308201 in words is "two trillion, two hundred sixty-five billion, ninety-nine million, three hundred eight thousand, two hundred one".