13001540 has 24 divisors (see below), whose sum is σ = 27753432. Its totient is φ = 5114880.

The previous prime is 13001539. The next prime is 13001543. The reversal of 13001540 is 4510031.

It can be written as a sum of positive squares in 4 ways, for example, as 835396 + 12166144 = 914^2 + 3488^2 .

It is not an unprimeable number, because it can be changed into a prime (13001543) 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, 4109 + ... + 6548.

It is an arithmetic number, because the mean of its divisors is an integer number (1156393).

Almost surely, 2^13001540 is an apocalyptic number.

13001540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13001540 is an abundant number, since it is smaller than the sum of its proper divisors (14751892).

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

13001540 is a wasteful number, since it uses less digits than its factorization.

13001540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10727 (or 10725 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 13001540 is about 3605.7648287153. The cubic root of 13001540 is about 235.1427531630.

Adding to 13001540 its reverse (4510031), we get a palindrome (17511571).

The spelling of 13001540 in words is "thirteen million, one thousand, five hundred forty".