13180536 has 64 divisors (see below), whose sum is σ = 36960000. Its totient is φ = 4351968.

The previous prime is 13180523. The next prime is 13180571. The reversal of 13180536 is 63508131.

13180536 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29805 + ... + 30243.

It is an arithmetic number, because the mean of its divisors is an integer number (577500).

Almost surely, 2^13180536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13180536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18480000).

13180536 is an abundant number, since it is smaller than the sum of its proper divisors (23779464).

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

13180536 is a wasteful number, since it uses less digits than its factorization.

13180536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 13180536 is about 3630.5007919019. The cubic root of 13180536 is about 236.2169316276.

Adding to 13180536 its reverse (63508131), we get a palindrome (76688667).

It can be divided in two parts, 131805 and 36, that added together give a triangular number (131841 = T₅₁₃).

The spelling of 13180536 in words is "thirteen million, one hundred eighty thousand, five hundred thirty-six".