11005253 has 12 divisors (see below), whose sum is σ = 12968640. Its totient is φ = 9310392.

The previous prime is 11005231. The next prime is 11005259. The reversal of 11005253 is 35250011.

It is a de Polignac number, because none of the positive numbers 2^k-11005253 is a prime.

It is a super-2 number, since 2×11005253² = 242231187188018, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11005259) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2450 + ... + 5292.

It is an arithmetic number, because the mean of its divisors is an integer number (1080720).

Almost surely, 2^11005253 is an apocalyptic number.

It is an amenable number.

11005253 is a deficient number, since it is larger than the sum of its proper divisors (1963387).

11005253 is an equidigital number, since it uses as much as digits as its factorization.

11005253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2936 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 11005253 is about 3317.4166153801. The cubic root of 11005253 is about 222.4334051426.

Adding to 11005253 its reverse (35250011), we get a palindrome (46255264).

It can be divided in two parts, 1100 and 5253, that multiplied together give a triangular number (5778300 = T₃₃₉₉).

The spelling of 11005253 in words is "eleven million, five thousand, two hundred fifty-three".