2657817257 has 2 divisors, whose sum is σ = 2657817258. Its totient is φ = 2657817256.

The previous prime is 2657817203. The next prime is 2657817287. The reversal of 2657817257 is 7527187562.

2657817257 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 can be written as a sum of positive squares in only one way, i.e., 2096174656 + 561642601 = 45784^2 + 23699^2 .

It is a cyclic number.

It is not a de Polignac number, because 2657817257 - 2¹² = 2657813161 is a prime.

It is not a weakly prime, because it can be changed into another prime (2657817287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1328908628 + 1328908629.

It is an arithmetic number, because the mean of its divisors is an integer number (1328908629).

Almost surely, 2^2657817257 is an apocalyptic number.

It is an amenable number.

2657817257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2657817257 is an equidigital number, since it uses as much as digits as its factorization.

2657817257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1646400, while the sum is 50.

The square root of 2657817257 is about 51554.0227043438. The cubic root of 2657817257 is about 1385.1868892456.

The spelling of 2657817257 in words is "two billion, six hundred fifty-seven million, eight hundred seventeen thousand, two hundred fifty-seven".