557645055777401 has 2 divisors, whose sum is σ = 557645055777402. Its totient is φ = 557645055777400.

The previous prime is 557645055777343. The next prime is 557645055777427. The reversal of 557645055777401 is 104777550546755.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 488901804543376 + 68743251234025 = 22111124^2 + 8291155^2 .

It is a cyclic number.

It is not a de Polignac number, because 557645055777401 - 2¹⁸ = 557645055515257 is a prime.

It is not a weakly prime, because it can be changed into another prime (557645055777451) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 278822527888700 + 278822527888701.

It is an arithmetic number, because the mean of its divisors is an integer number (278822527888701).

Almost surely, 2^{557645055777401} is an apocalyptic number.

It is an amenable number.

557645055777401 is a deficient number, since it is larger than the sum of its proper divisors (1).

557645055777401 is an equidigital number, since it uses as much as digits as its factorization.

557645055777401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 720300000, while the sum is 68.

The spelling of 557645055777401 in words is "five hundred fifty-seven trillion, six hundred forty-five billion, fifty-five million, seven hundred seventy-seven thousand, four hundred one".