10206561601 has 2 divisors, whose sum is σ = 10206561602. Its totient is φ = 10206561600.

The previous prime is 10206561557. The next prime is 10206561637. The reversal of 10206561601 is 10616560201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10077148225 + 129413376 = 100385^2 + 11376^2 .

It is a cyclic number.

It is not a de Polignac number, because 10206561601 - 2¹¹ = 10206559553 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10206561601.

It is not a weakly prime, because it can be changed into another prime (10206561691) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5103280800 + 5103280801.

It is an arithmetic number, because the mean of its divisors is an integer number (5103280801).

Almost surely, 2^10206561601 is an apocalyptic number.

It is an amenable number.

10206561601 is a deficient number, since it is larger than the sum of its proper divisors (1).

10206561601 is an equidigital number, since it uses as much as digits as its factorization.

10206561601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2160, while the sum is 28.

The spelling of 10206561601 in words is "ten billion, two hundred six million, five hundred sixty-one thousand, six hundred one".