5206735263857 has 2 divisors, whose sum is σ = 5206735263858. Its totient is φ = 5206735263856.

The previous prime is 5206735263853. The next prime is 5206735263859. The reversal of 5206735263857 is 7583625376025.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3308611843681 + 1898123420176 = 1818959^2 + 1377724^2 .

It is a cyclic number.

It is not a de Polignac number, because 5206735263857 - 2² = 5206735263853 is a prime.

It is a super-2 number, since 2×5206735263857² (a number of 26 digits) contains 22 as substring.

Together with 5206735263859, 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 = 5206735263796 and 5206735263805.

It is not a weakly prime, because it can be changed into another prime (5206735263853) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2603367631928 + 2603367631929.

It is an arithmetic number, because the mean of its divisors is an integer number (2603367631929).

Almost surely, 2^{5206735263857} is an apocalyptic number.

It is an amenable number.

5206735263857 is a deficient number, since it is larger than the sum of its proper divisors (1).

5206735263857 is an equidigital number, since it uses as much as digits as its factorization.

5206735263857 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 63504000, while the sum is 59.

The spelling of 5206735263857 in words is "five trillion, two hundred six billion, seven hundred thirty-five million, two hundred sixty-three thousand, eight hundred fifty-seven".