2511617257 has 2 divisors, whose sum is σ = 2511617258. Its totient is φ = 2511617256.

The previous prime is 2511617249. The next prime is 2511617263. The reversal of 2511617257 is 7527161152.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2154445056 + 357172201 = 46416^2 + 18899^2 .

It is a cyclic number.

It is not a de Polignac number, because 2511617257 - 2³ = 2511617249 is a prime.

It is not a weakly prime, because it can be changed into another prime (2511617357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1255808628 + 1255808629.

It is an arithmetic number, because the mean of its divisors is an integer number (1255808629).

Almost surely, 2^2511617257 is an apocalyptic number.

It is an amenable number.

2511617257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2511617257 is an equidigital number, since it uses as much as digits as its factorization.

2511617257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 29400, while the sum is 37.

The square root of 2511617257 is about 50116.0379220066. The cubic root of 2511617257 is about 1359.3078327967.

The spelling of 2511617257 in words is "two billion, five hundred eleven million, six hundred seventeen thousand, two hundred fifty-seven".