814476520657 has 2 divisors, whose sum is σ = 814476520658. Its totient is φ = 814476520656.

The previous prime is 814476520597. The next prime is 814476520679. The reversal of 814476520657 is 756025674418.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 689313402001 + 125163118656 = 830249^2 + 353784^2 .

It is a cyclic number.

It is not a de Polignac number, because 814476520657 - 2¹⁵ = 814476487889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 814476520598 and 814476520607.

It is not a weakly prime, because it can be changed into another prime (814476520357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 407238260328 + 407238260329.

It is an arithmetic number, because the mean of its divisors is an integer number (407238260329).

Almost surely, 2^814476520657 is an apocalyptic number.

It is an amenable number.

814476520657 is a deficient number, since it is larger than the sum of its proper divisors (1).

814476520657 is an equidigital number, since it uses as much as digits as its factorization.

814476520657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11289600, while the sum is 55.

The spelling of 814476520657 in words is "eight hundred fourteen billion, four hundred seventy-six million, five hundred twenty thousand, six hundred fifty-seven".