2605711257 has 12 divisors (see below), whose sum is σ = 3766045140. Its totient is φ = 1736107008.

The previous prime is 2605711249. The next prime is 2605711267. The reversal of 2605711257 is 7521175062.

2605711257 is a `hidden beast` number, since 2 + 60 + 571 + 1 + 25 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2300545296 + 305165961 = 47964^2 + 17469^2 .

It is not a de Polignac number, because 2605711257 - 2³ = 2605711249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2605711237) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70032 + ... + 100577.

It is an arithmetic number, because the mean of its divisors is an integer number (313837095).

Almost surely, 2^2605711257 is an apocalyptic number.

It is an amenable number.

2605711257 is a deficient number, since it is larger than the sum of its proper divisors (1160333883).

2605711257 is a wasteful number, since it uses less digits than its factorization.

2605711257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172312 (or 172309 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 2605711257 is about 51046.1678973065. The cubic root of 2605711257 is about 1376.0749732746.

The spelling of 2605711257 in words is "two billion, six hundred five million, seven hundred eleven thousand, two hundred fifty-seven".