9963405313 has 2 divisors, whose sum is σ = 9963405314. Its totient is φ = 9963405312.

The previous prime is 9963405253. The next prime is 9963405317. The reversal of 9963405313 is 3135043699.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6731710209 + 3231695104 = 82047^2 + 56848^2 .

It is a cyclic number.

It is not a de Polignac number, because 9963405313 - 2²⁹ = 9426534401 is a prime.

It is a super-2 number, since 2×9963405313² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9963405313.

It is not a weakly prime, because it can be changed into another prime (9963405317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4981702656 + 4981702657.

It is an arithmetic number, because the mean of its divisors is an integer number (4981702657).

Almost surely, 2^9963405313 is an apocalyptic number.

It is an amenable number.

9963405313 is a deficient number, since it is larger than the sum of its proper divisors (1).

9963405313 is an equidigital number, since it uses as much as digits as its factorization.

9963405313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 262440, while the sum is 43.

The square root of 9963405313 is about 99816.8588616172. The cubic root of 9963405313 is about 2151.8034489974.

The spelling of 9963405313 in words is "nine billion, nine hundred sixty-three million, four hundred five thousand, three hundred thirteen".