11553012 has 36 divisors (see below), whose sum is σ = 29336580. Its totient is φ = 3833472.

The previous prime is 11552977. The next prime is 11553029. The reversal of 11553012 is 21035511.

It can be written as a sum of positive squares in 2 ways, for example, as 2944656 + 8608356 = 1716^2 + 2934^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9088 + ... + 10280.

It is an arithmetic number, because the mean of its divisors is an integer number (814905).

Almost surely, 2^11553012 is an apocalyptic number.

11553012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11553012 is an abundant number, since it is smaller than the sum of its proper divisors (17783568).

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

11553012 is a wasteful number, since it uses less digits than its factorization.

11553012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 11553012 is about 3398.9721975915. The cubic root of 11553012 is about 226.0641736990.

Adding to 11553012 its reverse (21035511), we get a palindrome (32588523).

The spelling of 11553012 in words is "eleven million, five hundred fifty-three thousand, twelve".