11521257 has 24 divisors (see below), whose sum is σ = 17887968. Its totient is φ = 6568320.

The previous prime is 11521249. The next prime is 11521259. The reversal of 11521257 is 75212511.

It is not a de Polignac number, because 11521257 - 2³ = 11521249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11521259) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5238 + ... + 7104.

It is an arithmetic number, because the mean of its divisors is an integer number (745332).

Almost surely, 2^11521257 is an apocalyptic number.

11521257 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

11521257 is a deficient number, since it is larger than the sum of its proper divisors (6366711).

11521257 is a wasteful number, since it uses less digits than its factorization.

11521257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1898 counting only the distinct ones).

The product of its digits is 700, while the sum is 24.

The square root of 11521257 is about 3394.2977182327. The cubic root of 11521257 is about 225.8568610930.

Adding to 11521257 its reverse (75212511), we get a palindrome (86733768).

The spelling of 11521257 in words is "eleven million, five hundred twenty-one thousand, two hundred fifty-seven".