557091536761 has 2 divisors, whose sum is σ = 557091536762. Its totient is φ = 557091536760.

The previous prime is 557091536717. The next prime is 557091536767. The reversal of 557091536761 is 167635190755.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 433200912400 + 123890624361 = 658180^2 + 351981^2 .

It is a cyclic number.

It is not a de Polignac number, because 557091536761 - 2¹⁹ = 557091012473 is a prime.

It is a super-2 number, since 2×557091536761² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (557091536767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 278545768380 + 278545768381.

It is an arithmetic number, because the mean of its divisors is an integer number (278545768381).

Almost surely, 2^557091536761 is an apocalyptic number.

It is an amenable number.

557091536761 is a deficient number, since it is larger than the sum of its proper divisors (1).

557091536761 is an equidigital number, since it uses as much as digits as its factorization.

557091536761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5953500, while the sum is 55.

The spelling of 557091536761 in words is "five hundred fifty-seven billion, ninety-one million, five hundred thirty-six thousand, seven hundred sixty-one".