980580993 has 24 divisors (see below), whose sum is σ = 1562015232. Its totient is φ = 545184864.

The previous prime is 980580989. The next prime is 980581079. The reversal of 980580993 is 399085089.

980580993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 980580993 - 2² = 980580989 is a prime.

It is not an unprimeable number, because it can be changed into a prime (980580193) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84705 + ... + 95582.

It is an arithmetic number, because the mean of its divisors is an integer number (65083968).

Almost surely, 2^980580993 is an apocalyptic number.

It is an amenable number.

980580993 is a deficient number, since it is larger than the sum of its proper divisors (581434239).

980580993 is a wasteful number, since it uses less digits than its factorization.

980580993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180341 (or 180334 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 51.

The square root of 980580993 is about 31314.2298803595. The cubic root of 980580993 is about 993.4846399421.

The spelling of 980580993 in words is "nine hundred eighty million, five hundred eighty thousand, nine hundred ninety-three".