13125760 has 32 divisors (see below), whose sum is σ = 31380300. Its totient is φ = 5250048.

The previous prime is 13125727. The next prime is 13125767. The reversal of 13125760 is 6752131.

It can be written as a sum of positive squares in 2 ways, for example, as 12446784 + 678976 = 3528^2 + 824^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (13125767) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9615 + ... + 10894.

Almost surely, 2^13125760 is an apocalyptic number.

13125760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13125760 is an abundant number, since it is smaller than the sum of its proper divisors (18254540).

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

13125760 is an equidigital number, since it uses as much as digits as its factorization.

13125760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20528 (or 20516 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 13125760 is about 3622.9490749940. The cubic root of 13125760 is about 235.8892518771.

Adding to 13125760 its reverse (6752131), we get a palindrome (19877891).

The spelling of 13125760 in words is "thirteen million, one hundred twenty-five thousand, seven hundred sixty".