13088565 has 48 divisors (see below), whose sum is σ = 26652288. Its totient is φ = 5816448.

The previous prime is 13088557. The next prime is 13088573. The reversal of 13088565 is 56588031.

13088565 is a `hidden beast` number, since 13 + 0 + 88 + 565 = 666.

It is an interprime number because it is at equal distance from previous prime (13088557) and next prime (13088573).

It is not a de Polignac number, because 13088565 - 2³ = 13088557 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11094 + ... + 12216.

It is an arithmetic number, because the mean of its divisors is an integer number (555256).

Almost surely, 2^13088565 is an apocalyptic number.

13088565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13088565 is an abundant number, since it is smaller than the sum of its proper divisors (13563723).

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

13088565 is a wasteful number, since it uses less digits than its factorization.

13088565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 13088565 is about 3617.8121841798. The cubic root of 13088565 is about 235.6662247546. Note that the first 3 decimals are identical.

The spelling of 13088565 in words is "thirteen million, eighty-eight thousand, five hundred sixty-five".