557626253201 has 2 divisors, whose sum is σ = 557626253202. Its totient is φ = 557626253200.

The previous prime is 557626253167. The next prime is 557626253209. The reversal of 557626253201 is 102352626755.

557626253201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 333685299025 + 223940954176 = 577655^2 + 473224^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-557626253201 is a prime.

It is not a weakly prime, because it can be changed into another prime (557626253209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 278813126600 + 278813126601.

It is an arithmetic number, because the mean of its divisors is an integer number (278813126601).

Almost surely, 2^557626253201 is an apocalyptic number.

It is an amenable number.

557626253201 is a deficient number, since it is larger than the sum of its proper divisors (1).

557626253201 is an equidigital number, since it uses as much as digits as its factorization.

557626253201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 756000, while the sum is 44.

Adding to 557626253201 its reverse (102352626755), we get a palindrome (659978879956).

The spelling of 557626253201 in words is "five hundred fifty-seven billion, six hundred twenty-six million, two hundred fifty-three thousand, two hundred one".