2565101113 has 2 divisors, whose sum is σ = 2565101114. Its totient is φ = 2565101112.

The previous prime is 2565101111. The next prime is 2565101131. The reversal of 2565101113 is 3111015652.

It is a happy number.

Together with next prime (2565101131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1829443984 + 735657129 = 42772^2 + 27123^2 .

It is a cyclic number.

It is not a de Polignac number, because 2565101113 - 2¹ = 2565101111 is a prime.

Together with 2565101111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2565101111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1282550556 + 1282550557.

It is an arithmetic number, because the mean of its divisors is an integer number (1282550557).

Almost surely, 2^2565101113 is an apocalyptic number.

It is an amenable number.

2565101113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2565101113 is an equidigital number, since it uses as much as digits as its factorization.

2565101113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 2565101113 is about 50646.8272747662. The cubic root of 2565101113 is about 1368.8887774665. Note that the first 3 decimals are identical.

Adding to 2565101113 its reverse (3111015652), we get a palindrome (5676116765).

The spelling of 2565101113 in words is "two billion, five hundred sixty-five million, one hundred one thousand, one hundred thirteen".