11516401 has 8 divisors (see below), whose sum is σ = 12436200. Its totient is φ = 10601472.

The previous prime is 11516377. The next prime is 11516419. The reversal of 11516401 is 10461511.

It can be written as a sum of positive squares in 4 ways, for example, as 119025 + 11397376 = 345^2 + 3376^2 .

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 11516401 - 2⁵ = 11516369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11516441) 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, 4851 + ... + 6823.

It is an arithmetic number, because the mean of its divisors is an integer number (1554525).

Almost surely, 2^11516401 is an apocalyptic number.

It is an amenable number.

11516401 is a deficient number, since it is larger than the sum of its proper divisors (919799).

11516401 is a wasteful number, since it uses less digits than its factorization.

11516401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2435.

The product of its (nonzero) digits is 120, while the sum is 19.

The square root of 11516401 is about 3393.5823255080. The cubic root of 11516401 is about 225.8251251160.

Adding to 11516401 its reverse (10461511), we get a palindrome (21977912).

The spelling of 11516401 in words is "eleven million, five hundred sixteen thousand, four hundred one".