205314521 has 2 divisors, whose sum is σ = 205314522. Its totient is φ = 205314520.

The previous prime is 205314481. The next prime is 205314523. The reversal of 205314521 is 125413502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131354521 + 73960000 = 11461^2 + 8600^2 .

It is a cyclic number.

It is not a de Polignac number, because 205314521 - 2¹⁰ = 205313497 is a prime.

Together with 205314523, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (205314523) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102657260 + 102657261.

It is an arithmetic number, because the mean of its divisors is an integer number (102657261).

Almost surely, 2^205314521 is an apocalyptic number.

It is an amenable number.

205314521 is a deficient number, since it is larger than the sum of its proper divisors (1).

205314521 is an equidigital number, since it uses as much as digits as its factorization.

205314521 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 205314521 is about 14328.8004033834. The cubic root of 205314521 is about 589.9382497856.

It can be divided in two parts, 20531 and 4521, that added together give a palindrome (25052).

The spelling of 205314521 in words is "two hundred five million, three hundred fourteen thousand, five hundred twenty-one".