557201103126257 has 2 divisors, whose sum is σ = 557201103126258. Its totient is φ = 557201103126256.

The previous prime is 557201103126137. The next prime is 557201103126263. The reversal of 557201103126257 is 752621301102755.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 556082001494881 + 1119101631376 = 23581391^2 + 1057876^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-557201103126257 is a prime.

It is not a weakly prime, because it can be changed into another prime (557201103126287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 278600551563128 + 278600551563129.

It is an arithmetic number, because the mean of its divisors is an integer number (278600551563129).

Almost surely, 2^{557201103126257} is an apocalyptic number.

It is an amenable number.

557201103126257 is a deficient number, since it is larger than the sum of its proper divisors (1).

557201103126257 is an equidigital number, since it uses as much as digits as its factorization.

557201103126257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 882000, while the sum is 47.

The spelling of 557201103126257 in words is "five hundred fifty-seven trillion, two hundred one billion, one hundred three million, one hundred twenty-six thousand, two hundred fifty-seven".