980035000313 has 16 divisors (see below), whose sum is σ = 1009946394000. Its totient is φ = 950550881280.

The previous prime is 980035000261. The next prime is 980035000319. The reversal of 980035000313 is 313000530089.

980035000313 = 700012² + 700013².

It can be written as a sum of positive squares in 8 ways, for example, as 22292878864 + 957742121449 = 149308^2 + 978643^2 .

It is a cyclic number.

It is not a de Polignac number, because 980035000313 - 2⁸ = 980035000057 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 980035000313.

It is not an unprimeable number, because it can be changed into a prime (980035000319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27628613 + ... + 27664061.

It is an arithmetic number, because the mean of its divisors is an integer number (63121649625).

Almost surely, 2^980035000313 is an apocalyptic number.

980035000313 is the 700013-rd centered square number.

It is an amenable number.

980035000313 is a deficient number, since it is larger than the sum of its proper divisors (29911393687).

980035000313 is a wasteful number, since it uses less digits than its factorization.

980035000313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41452.

The product of its (nonzero) digits is 9720, while the sum is 32.

The spelling of 980035000313 in words is "nine hundred eighty billion, thirty-five million, three hundred thirteen", and thus it is an aban number.