557934400329589 has 2 divisors, whose sum is σ = 557934400329590. Its totient is φ = 557934400329588.

The previous prime is 557934400329587. The next prime is 557934400329617. The reversal of 557934400329589 is 985923004439755.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 554087251527364 + 3847148802225 = 23539058^2 + 1961415^2 .

It is a cyclic number.

It is not a de Polignac number, because 557934400329589 - 2¹ = 557934400329587 is a prime.

It is a super-2 number, since 2×557934400329589² (a number of 30 digits) contains 22 as substring.

Together with 557934400329587, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (557934400329583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 278967200164794 + 278967200164795.

It is an arithmetic number, because the mean of its divisors is an integer number (278967200164795).

Almost surely, 2^{557934400329589} is an apocalyptic number.

It is an amenable number.

557934400329589 is a deficient number, since it is larger than the sum of its proper divisors (1).

557934400329589 is an equidigital number, since it uses as much as digits as its factorization.

557934400329589 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1469664000, while the sum is 73.

The spelling of 557934400329589 in words is "five hundred fifty-seven trillion, nine hundred thirty-four billion, four hundred million, three hundred twenty-nine thousand, five hundred eighty-nine".