2565311251 has 2 divisors, whose sum is σ = 2565311252. Its totient is φ = 2565311250.

The previous prime is 2565311207. The next prime is 2565311257. The reversal of 2565311251 is 1521135652.

2565311251 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2565311251 - 2¹⁹ = 2564786963 is a prime.

It is not a weakly prime, because it can be changed into another prime (2565311257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1282655625 + 1282655626.

It is an arithmetic number, because the mean of its divisors is an integer number (1282655626).

Almost surely, 2^2565311251 is an apocalyptic number.

2565311251 is a deficient number, since it is larger than the sum of its proper divisors (1).

2565311251 is an equidigital number, since it uses as much as digits as its factorization.

2565311251 is an evil number, because the sum of its binary digits is even.

The product of its digits is 9000, while the sum is 31.

The square root of 2565311251 is about 50648.9017748658. The cubic root of 2565311251 is about 1368.9261571099.

The spelling of 2565311251 in words is "two billion, five hundred sixty-five million, three hundred eleven thousand, two hundred fifty-one".