205152025381 has 2 divisors, whose sum is σ = 205152025382. Its totient is φ = 205152025380.

The previous prime is 205152025327. The next prime is 205152025427. The reversal of 205152025381 is 183520251502.

205152025381 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 164889596356 + 40262429025 = 406066^2 + 200655^2 .

It is a cyclic number.

It is not a de Polignac number, because 205152025381 - 2²³ = 205143636773 is a prime.

It is a super-2 number, since 2×205152025381² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205152025781) 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, 102576012690 + 102576012691.

It is an arithmetic number, because the mean of its divisors is an integer number (102576012691).

Almost surely, 2^205152025381 is an apocalyptic number.

It is an amenable number.

205152025381 is a deficient number, since it is larger than the sum of its proper divisors (1).

205152025381 is an equidigital number, since it uses as much as digits as its factorization.

205152025381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24000, while the sum is 34.

Adding to 205152025381 its reverse (183520251502), we get a palindrome (388672276883).

The spelling of 205152025381 in words is "two hundred five billion, one hundred fifty-two million, twenty-five thousand, three hundred eighty-one".