5577833750113 has 2 divisors, whose sum is σ = 5577833750114. Its totient is φ = 5577833750112.

The previous prime is 5577833750089. The next prime is 5577833750119. The reversal of 5577833750113 is 3110573387755.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4047548469904 + 1530285280209 = 2011852^2 + 1237047^2 .

It is a cyclic number.

It is not a de Polignac number, because 5577833750113 - 2⁵ = 5577833750081 is a prime.

It is a super-2 number, since 2×5577833750113² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (5577833750119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2788916875056 + 2788916875057.

It is an arithmetic number, because the mean of its divisors is an integer number (2788916875057).

Almost surely, 2^{5577833750113} is an apocalyptic number.

It is an amenable number.

5577833750113 is a deficient number, since it is larger than the sum of its proper divisors (1).

5577833750113 is an equidigital number, since it uses as much as digits as its factorization.

5577833750113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9261000, while the sum is 55.

The spelling of 5577833750113 in words is "five trillion, five hundred seventy-seven billion, eight hundred thirty-three million, seven hundred fifty thousand, one hundred thirteen".