10206255526013 has 2 divisors, whose sum is σ = 10206255526014. Its totient is φ = 10206255526012.

The previous prime is 10206255526007. The next prime is 10206255526079. The reversal of 10206255526013 is 31062555260201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10187568089209 + 18687436804 = 3191797^2 + 136702^2 .

It is a cyclic number.

It is not a de Polignac number, because 10206255526013 - 2²² = 10206251331709 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10206255526513) 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, 5103127763006 + 5103127763007.

It is an arithmetic number, because the mean of its divisors is an integer number (5103127763007).

Almost surely, 2^{10206255526013} is an apocalyptic number.

It is an amenable number.

10206255526013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10206255526013 is an equidigital number, since it uses as much as digits as its factorization.

10206255526013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108000, while the sum is 38.

The spelling of 10206255526013 in words is "ten trillion, two hundred six billion, two hundred fifty-five million, five hundred twenty-six thousand, thirteen".