11564001 has 6 divisors (see below), whose sum is σ = 16703570. Its totient is φ = 7709328.

The previous prime is 11563997. The next prime is 11564051. The reversal of 11564001 is 10046511.

11564001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5875776 + 5688225 = 2424^2 + 2385^2 .

It is not a de Polignac number, because 11564001 - 2² = 11563997 is a prime.

It is a super-2 number, since 2×11564001² = 267452238256002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11564051) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 642436 + ... + 642453.

Almost surely, 2^11564001 is an apocalyptic number.

It is an amenable number.

11564001 is a deficient number, since it is larger than the sum of its proper divisors (5139569).

11564001 is a wasteful number, since it uses less digits than its factorization.

11564001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284895 (or 1284892 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 11564001 is about 3400.5883314509. The cubic root of 11564001 is about 226.1358269318.

The spelling of 11564001 in words is "eleven million, five hundred sixty-four thousand, one".