205314012032257 has 2 divisors, whose sum is σ = 205314012032258. Its totient is φ = 205314012032256.

The previous prime is 205314012032183. The next prime is 205314012032287. The reversal of 205314012032257 is 752230210413502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 172466338430736 + 32847673601521 = 13132644^2 + 5731289^2 .

It is a cyclic number.

It is not a de Polignac number, because 205314012032257 - 2¹⁵ = 205314011999489 is a prime.

It is not a weakly prime, because it can be changed into another prime (205314012032287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102657006016128 + 102657006016129.

It is an arithmetic number, because the mean of its divisors is an integer number (102657006016129).

Almost surely, 2^{205314012032257} is an apocalyptic number.

It is an amenable number.

205314012032257 is a deficient number, since it is larger than the sum of its proper divisors (1).

205314012032257 is an equidigital number, since it uses as much as digits as its factorization.

205314012032257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 100800, while the sum is 37.

Adding to 205314012032257 its reverse (752230210413502), we get a palindrome (957544222445759).

The spelling of 205314012032257 in words is "two hundred five trillion, three hundred fourteen billion, twelve million, thirty-two thousand, two hundred fifty-seven".