11506819 has 8 divisors (see below), whose sum is σ = 11693360. Its totient is φ = 11321856.

The previous prime is 11506813. The next prime is 11506849. The reversal of 11506819 is 91860511.

11506819 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11506819 - 2³ = 11506811 is a prime.

It is a super-2 number, since 2×11506819² = 264813766997522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11506811) 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, 30172 + ... + 30550.

It is an arithmetic number, because the mean of its divisors is an integer number (1461670).

Almost surely, 2^11506819 is an apocalyptic number.

11506819 is a deficient number, since it is larger than the sum of its proper divisors (186541).

11506819 is an equidigital number, since it uses as much as digits as its factorization.

11506819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789.

The product of its (nonzero) digits is 2160, while the sum is 31.

The square root of 11506819 is about 3392.1702492652. The cubic root of 11506819 is about 225.7624765867.

The spelling of 11506819 in words is "eleven million, five hundred six thousand, eight hundred nineteen".