11564564625 has 24 divisors (see below), whose sum is σ = 20847057192. Its totient is φ = 6167767200.

The previous prime is 11564564617. The next prime is 11564564651. The reversal of 11564564625 is 52646546511.

11564564625 is a `hidden beast` number, since 1 + 1 + 5 + 64 + 564 + 6 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1848914001 + 9715650624 = 42999^2 + 98568^2 .

It is not a de Polignac number, because 11564564625 - 2³ = 11564564617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5138682 + ... + 5140931.

It is an arithmetic number, because the mean of its divisors is an integer number (868627383).

Almost surely, 2^11564564625 is an apocalyptic number.

11564564625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11564564625 is a deficient number, since it is larger than the sum of its proper divisors (9282492567).

11564564625 is a wasteful number, since it uses less digits than its factorization.

11564564625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10279634 (or 10279621 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The spelling of 11564564625 in words is "eleven billion, five hundred sixty-four million, five hundred sixty-four thousand, six hundred twenty-five".