205325255012057 has 2 divisors, whose sum is σ = 205325255012058. Its totient is φ = 205325255012056.

The previous prime is 205325255011963. The next prime is 205325255012117. The reversal of 205325255012057 is 750210552523502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 200744096959561 + 4581158052496 = 14168419^2 + 2140364^2 .

It is a cyclic number.

It is not a de Polignac number, because 205325255012057 - 2¹⁴ = 205325254995673 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205325255011999 and 205325255012017.

It is not a weakly prime, because it can be changed into another prime (205325255014057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102662627506028 + 102662627506029.

It is an arithmetic number, because the mean of its divisors is an integer number (102662627506029).

Almost surely, 2^{205325255012057} is an apocalyptic number.

It is an amenable number.

205325255012057 is a deficient number, since it is larger than the sum of its proper divisors (1).

205325255012057 is an equidigital number, since it uses as much as digits as its factorization.

205325255012057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1050000, while the sum is 44.

The spelling of 205325255012057 in words is "two hundred five trillion, three hundred twenty-five billion, two hundred fifty-five million, twelve thousand, fifty-seven".