491180013 has 24 divisors (see below), whose sum is σ = 727332320. Its totient is φ = 319243680.

The previous prime is 491180009. The next prime is 491180021. The reversal of 491180013 is 310081194.

It is not a de Polignac number, because 491180013 - 2² = 491180009 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491180083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 320058 + ... + 321588.

Almost surely, 2^491180013 is an apocalyptic number.

491180013 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

491180013 is a deficient number, since it is larger than the sum of its proper divisors (236152307).

491180013 is a wasteful number, since it uses less digits than its factorization.

491180013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 491180013 is about 22162.5813704090. The cubic root of 491180013 is about 789.0058599998.

The spelling of 491180013 in words is "four hundred ninety-one million, one hundred eighty thousand, thirteen".