13054580 has 96 divisors (see below), whose sum is σ = 35078400. Its totient is φ = 4045440.

The previous prime is 13054541. The next prime is 13054583. The reversal of 13054580 is 8545031.

13054580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13054583) 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, 75374 + ... + 75546.

It is an arithmetic number, because the mean of its divisors is an integer number (365400).

Almost surely, 2^13054580 is an apocalyptic number.

13054580 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 13054580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17539200).

13054580 is an abundant number, since it is smaller than the sum of its proper divisors (22023820).

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

13054580 is a wasteful number, since it uses less digits than its factorization.

13054580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 13054580 is about 3613.1122318577. The cubic root of 13054580 is about 235.4620755942.

It can be divided in two parts, 1305 and 4580, that added together give a palindrome (5885).

The spelling of 13054580 in words is "thirteen million, fifty-four thousand, five hundred eighty".