10305506249 has 2 divisors, whose sum is σ = 10305506250. Its totient is φ = 10305506248.

The previous prime is 10305506243. The next prime is 10305506279. The reversal of 10305506249 is 94260550301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8149575625 + 2155930624 = 90275^2 + 46432^2 .

It is a cyclic number.

It is not a de Polignac number, because 10305506249 - 2¹⁶ = 10305440713 is a prime.

It is not a weakly prime, because it can be changed into another prime (10305506243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5152753124 + 5152753125.

It is an arithmetic number, because the mean of its divisors is an integer number (5152753125).

Almost surely, 2^10305506249 is an apocalyptic number.

It is an amenable number.

10305506249 is a deficient number, since it is larger than the sum of its proper divisors (1).

10305506249 is an equidigital number, since it uses as much as digits as its factorization.

10305506249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32400, while the sum is 35.

The spelling of 10305506249 in words is "ten billion, three hundred five million, five hundred six thousand, two hundred forty-nine".