2617127257 has 2 divisors, whose sum is σ = 2617127258. Its totient is φ = 2617127256.

The previous prime is 2617127171. The next prime is 2617127263. The reversal of 2617127257 is 7527217162.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1623364681 + 993762576 = 40291^2 + 31524^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2617127257 is a prime.

It is not a weakly prime, because it can be changed into another prime (2617127287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1308563628 + 1308563629.

It is an arithmetic number, because the mean of its divisors is an integer number (1308563629).

Almost surely, 2^2617127257 is an apocalyptic number.

It is an amenable number.

2617127257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2617127257 is an equidigital number, since it uses as much as digits as its factorization.

2617127257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 82320, while the sum is 40.

The square root of 2617127257 is about 51157.8660325076. The cubic root of 2617127257 is about 1378.0816404874.

The spelling of 2617127257 in words is "two billion, six hundred seventeen million, one hundred twenty-seven thousand, two hundred fifty-seven".