13505780 has 24 divisors (see below), whose sum is σ = 28457352. Its totient is φ = 5384192.

The previous prime is 13505773. The next prime is 13505783. The reversal of 13505780 is 8750531.

13505780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2917264 + 10588516 = 1708^2 + 3254^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13505783) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6104 + ... + 8016.

It is an arithmetic number, because the mean of its divisors is an integer number (1185723).

Almost surely, 2^13505780 is an apocalyptic number.

13505780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13505780 is an abundant number, since it is smaller than the sum of its proper divisors (14951572).

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

13505780 is a wasteful number, since it uses less digits than its factorization.

13505780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2275 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 29.

The square root of 13505780 is about 3675.0210883749. The cubic root of 13505780 is about 238.1441350876.

The spelling of 13505780 in words is "thirteen million, five hundred five thousand, seven hundred eighty".