13540901 has 16 divisors (see below), whose sum is σ = 15797760. Its totient is φ = 11476080.

The previous prime is 13540897. The next prime is 13540931. The reversal of 13540901 is 10904531.

It is a happy number.

It is not a de Polignac number, because 13540901 - 2² = 13540897 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13540931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13520 + ... + 14486.

It is an arithmetic number, because the mean of its divisors is an integer number (987360).

Almost surely, 2^13540901 is an apocalyptic number.

13540901 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13540901 is a deficient number, since it is larger than the sum of its proper divisors (2256859).

13540901 is a wasteful number, since it uses less digits than its factorization.

13540901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064.

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 13540901 is about 3679.7963258854. The cubic root of 13540901 is about 238.3503830968.

It can be divided in two parts, 13540 and 901, that added together give a palindrome (14441).

The spelling of 13540901 in words is "thirteen million, five hundred forty thousand, nine hundred one".