11261565 has 64 divisors (see below), whose sum is σ = 24261120. Its totient is φ = 4838400.

The previous prime is 11261563. The next prime is 11261573. The reversal of 11261565 is 56516211.

It is a happy number.

It is not a de Polignac number, because 11261565 - 2¹ = 11261563 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11261563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15715 + ... + 16415.

It is an arithmetic number, because the mean of its divisors is an integer number (379080).

Almost surely, 2^11261565 is an apocalyptic number.

11261565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11261565 is an abundant number, since it is smaller than the sum of its proper divisors (12999555).

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

11261565 is a wasteful number, since it uses less digits than its factorization.

11261565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 733 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 11261565 is about 3355.8255318178. The cubic root of 11261565 is about 224.1469924338.

Adding to 11261565 its reverse (56516211), we get a palindrome (67777776).

The spelling of 11261565 in words is "eleven million, two hundred sixty-one thousand, five hundred sixty-five".