13540527 has 80 divisors (see below), whose sum is σ = 27320832. Its totient is φ = 6454080.

The previous prime is 13540523. The next prime is 13540531. The reversal of 13540527 is 72504531.

It is a happy number.

13540527 is a `hidden beast` number, since 135 + 4 + 0 + 527 = 666.

It is an interprime number because it is at equal distance from previous prime (13540523) and next prime (13540531).

It is not a de Polignac number, because 13540527 - 2² = 13540523 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13540527.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13540523) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 80998 + ... + 81164.

Almost surely, 2^13540527 is an apocalyptic number.

13540527 is an abundant number, since it is smaller than the sum of its proper divisors (13780305).

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

13540527 is a wasteful number, since it uses less digits than its factorization.

13540527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 13540527 is about 3679.7455075046. The cubic root of 13540527 is about 238.3481886622.

13540527 divided by its sum of digits (27) gives a triangular number (501501 = T₁₀₀₁).

The spelling of 13540527 in words is "thirteen million, five hundred forty thousand, five hundred twenty-seven".