2605745657 has 2 divisors, whose sum is σ = 2605745658. Its totient is φ = 2605745656.

The previous prime is 2605745651. The next prime is 2605745663. The reversal of 2605745657 is 7565475062.

2605745657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (2605745651) and next prime (2605745663).

It can be written as a sum of positive squares in only one way, i.e., 1484098576 + 1121647081 = 38524^2 + 33491^2 .

It is a cyclic number.

It is not a de Polignac number, because 2605745657 - 2¹⁸ = 2605483513 is a prime.

It is not a weakly prime, because it can be changed into another prime (2605745651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1302872828 + 1302872829.

It is an arithmetic number, because the mean of its divisors is an integer number (1302872829).

Almost surely, 2^2605745657 is an apocalyptic number.

It is an amenable number.

2605745657 is a deficient number, since it is larger than the sum of its proper divisors (1).

2605745657 is an equidigital number, since it uses as much as digits as its factorization.

2605745657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1764000, while the sum is 47.

The square root of 2605745657 is about 51046.5048460715. The cubic root of 2605745657 is about 1376.0810287896.

The spelling of 2605745657 in words is "two billion, six hundred five million, seven hundred forty-five thousand, six hundred fifty-seven".