205967702401 has 2 divisors, whose sum is σ = 205967702402. Its totient is φ = 205967702400.

The previous prime is 205967702387. The next prime is 205967702449. The reversal of 205967702401 is 104207769502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 126736712001 + 79230990400 = 356001^2 + 281480^2 .

It is a cyclic number.

It is not a de Polignac number, because 205967702401 - 2²¹ = 205965605249 is a prime.

It is not a weakly prime, because it can be changed into another prime (205967702701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102983851200 + 102983851201.

It is an arithmetic number, because the mean of its divisors is an integer number (102983851201).

Almost surely, 2^205967702401 is an apocalyptic number.

It is an amenable number.

205967702401 is a deficient number, since it is larger than the sum of its proper divisors (1).

205967702401 is an equidigital number, since it uses as much as digits as its factorization.

205967702401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 211680, while the sum is 43.

The spelling of 205967702401 in words is "two hundred five billion, nine hundred sixty-seven million, seven hundred two thousand, four hundred one".