205582550508259 has 2 divisors, whose sum is σ = 205582550508260. Its totient is φ = 205582550508258.

The previous prime is 205582550508199. The next prime is 205582550508311. The reversal of 205582550508259 is 952805055285502.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 205582550508259 - 2¹⁹ = 205582549983971 is a prime.

It is a super-2 number, since 2×205582550508259² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205582550508197 and 205582550508206.

It is not a weakly prime, because it can be changed into another prime (205582550500259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102791275254129 + 102791275254130.

It is an arithmetic number, because the mean of its divisors is an integer number (102791275254130).

Almost surely, 2^{205582550508259} is an apocalyptic number.

205582550508259 is a deficient number, since it is larger than the sum of its proper divisors (1).

205582550508259 is an equidigital number, since it uses as much as digits as its factorization.

205582550508259 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72000000, while the sum is 61.

The spelling of 205582550508259 in words is "two hundred five trillion, five hundred eighty-two billion, five hundred fifty million, five hundred eight thousand, two hundred fifty-nine".