984508513 has 2 divisors, whose sum is σ = 984508514. Its totient is φ = 984508512.

The previous prime is 984508457. The next prime is 984508517. The reversal of 984508513 is 315805489.

984508513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 931043169 + 53465344 = 30513^2 + 7312^2 .

It is an emirp because it is prime and its reverse (315805489) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 984508513 - 2⁹ = 984508001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 984508513.

It is not a weakly prime, because it can be changed into another prime (984508517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 492254256 + 492254257.

It is an arithmetic number, because the mean of its divisors is an integer number (492254257).

Almost surely, 2^984508513 is an apocalyptic number.

It is an amenable number.

984508513 is a deficient number, since it is larger than the sum of its proper divisors (1).

984508513 is an equidigital number, since it uses as much as digits as its factorization.

984508513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 172800, while the sum is 43.

The square root of 984508513 is about 31376.8786369836. The cubic root of 984508513 is about 994.8092739824.

The spelling of 984508513 in words is "nine hundred eighty-four million, five hundred eight thousand, five hundred thirteen".