11017952 has 48 divisors (see below), whose sum is σ = 23959152. Its totient is φ = 4945920.

The previous prime is 11017907. The next prime is 11017957. The reversal of 11017952 is 25971011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11017957) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39638 + ... + 39914.

It is an arithmetic number, because the mean of its divisors is an integer number (499149).

Almost surely, 2^11017952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11017952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11979576).

11017952 is an abundant number, since it is smaller than the sum of its proper divisors (12941200).

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

11017952 is a wasteful number, since it uses less digits than its factorization.

11017952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 26.

The square root of 11017952 is about 3319.3300528872. The cubic root of 11017952 is about 222.5189278179.

Adding to 11017952 its reverse (25971011), we get a palindrome (36988963).

The spelling of 11017952 in words is "eleven million, seventeen thousand, nine hundred fifty-two".