978585313 has 2 divisors, whose sum is σ = 978585314. Its totient is φ = 978585312.

The previous prime is 978585259. The next prime is 978585337. The reversal of 978585313 is 313585879.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 932508369 + 46076944 = 30537^2 + 6788^2 .

It is a cyclic number.

It is not a de Polignac number, because 978585313 - 2¹⁷ = 978454241 is a prime.

It is not a weakly prime, because it can be changed into another prime (978585343) 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, 489292656 + 489292657.

It is an arithmetic number, because the mean of its divisors is an integer number (489292657).

Almost surely, 2^978585313 is an apocalyptic number.

It is an amenable number.

978585313 is a deficient number, since it is larger than the sum of its proper divisors (1).

978585313 is an equidigital number, since it uses as much as digits as its factorization.

978585313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 907200, while the sum is 49.

The square root of 978585313 is about 31282.3482654356. The cubic root of 978585313 is about 992.8102016881.

The spelling of 978585313 in words is "nine hundred seventy-eight million, five hundred eighty-five thousand, three hundred thirteen".