10206255525017 has 2 divisors, whose sum is σ = 10206255525018. Its totient is φ = 10206255525016.

The previous prime is 10206255525013. The next prime is 10206255525029. The reversal of 10206255525017 is 71052555260201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6795348890521 + 3410906634496 = 2606789^2 + 1846864^2 .

It is an emirp because it is prime and its reverse (71052555260201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10206255525017 - 2² = 10206255525013 is a prime.

It is not a weakly prime, because it can be changed into another prime (10206255525013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5103127762508 + 5103127762509.

It is an arithmetic number, because the mean of its divisors is an integer number (5103127762509).

Almost surely, 2^{10206255525017} is an apocalyptic number.

It is an amenable number.

10206255525017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10206255525017 is an equidigital number, since it uses as much as digits as its factorization.

10206255525017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 210000, while the sum is 41.

The spelling of 10206255525017 in words is "ten trillion, two hundred six billion, two hundred fifty-five million, five hundred twenty-five thousand, seventeen".