4665776007257 has 2 divisors, whose sum is σ = 4665776007258. Its totient is φ = 4665776007256.

The previous prime is 4665776007181. The next prime is 4665776007259. The reversal of 4665776007257 is 7527006775664.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3340355696896 + 1325420310361 = 1827664^2 + 1151269^2 .

It is a cyclic number.

It is not a de Polignac number, because 4665776007257 - 2¹⁰ = 4665776006233 is a prime.

Together with 4665776007259, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4665776007257.

It is not a weakly prime, because it can be changed into another prime (4665776007259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2332888003628 + 2332888003629.

It is an arithmetic number, because the mean of its divisors is an integer number (2332888003629).

Almost surely, 2^{4665776007257} is an apocalyptic number.

It is an amenable number.

4665776007257 is a deficient number, since it is larger than the sum of its proper divisors (1).

4665776007257 is an equidigital number, since it uses as much as digits as its factorization.

4665776007257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 103723200, while the sum is 62.

The spelling of 4665776007257 in words is "four trillion, six hundred sixty-five billion, seven hundred seventy-six million, seven thousand, two hundred fifty-seven".