102305513 has 2 divisors, whose sum is σ = 102305514. Its totient is φ = 102305512.

The previous prime is 102305491. The next prime is 102305527. The reversal of 102305513 is 315503201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87459904 + 14845609 = 9352^2 + 3853^2 .

It is a cyclic number.

It is not a de Polignac number, because 102305513 - 2⁸ = 102305257 is a prime.

It is not a weakly prime, because it can be changed into another prime (102305563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51152756 + 51152757.

It is an arithmetic number, because the mean of its divisors is an integer number (51152757).

Almost surely, 2^102305513 is an apocalyptic number.

It is an amenable number.

102305513 is a deficient number, since it is larger than the sum of its proper divisors (1).

102305513 is an equidigital number, since it uses as much as digits as its factorization.

102305513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 102305513 is about 10114.6187768002. The cubic root of 102305513 is about 467.6988971323.

Adding to 102305513 its reverse (315503201), we get a palindrome (417808714).

The spelling of 102305513 in words is "one hundred two million, three hundred five thousand, five hundred thirteen".