205252513 has 2 divisors, whose sum is σ = 205252514. Its totient is φ = 205252512.

The previous prime is 205252501. The next prime is 205252549. The reversal of 205252513 is 315252502.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109662784 + 95589729 = 10472^2 + 9777^2 .

It is a cyclic number.

It is not a de Polignac number, because 205252513 - 2²¹ = 203155361 is a prime.

It is not a weakly prime, because it can be changed into another prime (205252583) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102626256 + 102626257.

It is an arithmetic number, because the mean of its divisors is an integer number (102626257).

Almost surely, 2^205252513 is an apocalyptic number.

It is an amenable number.

205252513 is a deficient number, since it is larger than the sum of its proper divisors (1).

205252513 is an equidigital number, since it uses as much as digits as its factorization.

205252513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 205252513 is about 14326.6364859307. The cubic root of 205252513 is about 589.8788538012.

The spelling of 205252513 in words is "two hundred five million, two hundred fifty-two thousand, five hundred thirteen".