657004424413 has 2 divisors, whose sum is σ = 657004424414. Its totient is φ = 657004424412.

The previous prime is 657004424359. The next prime is 657004424459. The reversal of 657004424413 is 314424400756.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 368659051929 + 288345372484 = 607173^2 + 536978^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-657004424413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (657004424113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 328502212206 + 328502212207.

It is an arithmetic number, because the mean of its divisors is an integer number (328502212207).

Almost surely, 2^657004424413 is an apocalyptic number.

It is an amenable number.

657004424413 is a deficient number, since it is larger than the sum of its proper divisors (1).

657004424413 is an equidigital number, since it uses as much as digits as its factorization.

657004424413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 322560, while the sum is 40.

The spelling of 657004424413 in words is "six hundred fifty-seven billion, four million, four hundred twenty-four thousand, four hundred thirteen".