2511063642257 has 2 divisors, whose sum is σ = 2511063642258. Its totient is φ = 2511063642256.

The previous prime is 2511063642179. The next prime is 2511063642319. The reversal of 2511063642257 is 7522463601152.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2083169735761 + 427893906496 = 1443319^2 + 654136^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2511063642257 is a prime.

It is not a weakly prime, because it can be changed into another prime (2511063642557) 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, 1255531821128 + 1255531821129.

It is an arithmetic number, because the mean of its divisors is an integer number (1255531821129).

Almost surely, 2^{2511063642257} is an apocalyptic number.

It is an amenable number.

2511063642257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2511063642257 is an equidigital number, since it uses as much as digits as its factorization.

2511063642257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 604800, while the sum is 44.

The spelling of 2511063642257 in words is "two trillion, five hundred eleven billion, sixty-three million, six hundred forty-two thousand, two hundred fifty-seven".