11415261 has 48 divisors (see below), whose sum is σ = 18768960. Its totient is φ = 6124800.

The previous prime is 11415247. The next prime is 11415269. The reversal of 11415261 is 16251411.

It is not a de Polignac number, because 11415261 - 2¹⁰ = 11414237 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11415269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193450 + ... + 193508.

It is an arithmetic number, because the mean of its divisors is an integer number (391020).

Almost surely, 2^11415261 is an apocalyptic number.

11415261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11415261 is a deficient number, since it is larger than the sum of its proper divisors (7353699).

11415261 is a wasteful number, since it uses less digits than its factorization.

11415261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 127 counting only the distinct ones).

The product of its digits is 240, while the sum is 21.

The square root of 11415261 is about 3378.6478064456. The cubic root of 11415261 is about 225.1620955400.

Adding to 11415261 its reverse (16251411), we get a palindrome (27666672).

The spelling of 11415261 in words is "eleven million, four hundred fifteen thousand, two hundred sixty-one".