5133555884657 has 2 divisors, whose sum is σ = 5133555884658. Its totient is φ = 5133555884656.

The previous prime is 5133555884647. The next prime is 5133555884659. The reversal of 5133555884657 is 7564885553315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5090081966641 + 43473918016 = 2256121^2 + 208504^2 .

It is a cyclic number.

It is not a de Polignac number, because 5133555884657 - 2⁴ = 5133555884641 is a prime.

Together with 5133555884659, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 5133555884593 and 5133555884602.

It is not a weakly prime, because it can be changed into another prime (5133555884659) 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, 2566777942328 + 2566777942329.

It is an arithmetic number, because the mean of its divisors is an integer number (2566777942329).

Almost surely, 2^{5133555884657} is an apocalyptic number.

It is an amenable number.

5133555884657 is a deficient number, since it is larger than the sum of its proper divisors (1).

5133555884657 is an equidigital number, since it uses as much as digits as its factorization.

5133555884657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 302400000, while the sum is 65.

The spelling of 5133555884657 in words is "five trillion, one hundred thirty-three billion, five hundred fifty-five million, eight hundred eighty-four thousand, six hundred fifty-seven".