13082580 has 96 divisors (see below), whose sum is σ = 46529280. Its totient is φ = 2989440.

The previous prime is 13082579. The next prime is 13082581. The reversal of 13082580 is 8528031.

It is a happy number.

13082580 is a `hidden beast` number, since 1 + 3 + 0 + 82 + 580 = 666.

It is an interprime number because it is at equal distance from previous prime (13082579) and next prime (13082581).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13082581) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2050 + ... + 5510.

It is an arithmetic number, because the mean of its divisors is an integer number (484680).

Almost surely, 2^13082580 is an apocalyptic number.

13082580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13082580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23264640).

13082580 is an abundant number, since it is smaller than the sum of its proper divisors (33446700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13082580 is a wasteful number, since it uses less digits than its factorization.

13082580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3486 (or 3478 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 13082580 is about 3616.9849322329. The cubic root of 13082580 is about 235.6302982952.

The spelling of 13082580 in words is "thirteen million, eighty-two thousand, five hundred eighty".