51564033 has 20 divisors (see below), whose sum is σ = 77297220. Its totient is φ = 34255872.

The previous prime is 51564031. The next prime is 51564041. The reversal of 51564033 is 33046515.

51564033 is a `hidden beast` number, since 5 + 15 + 640 + 3 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19210689 + 32353344 = 4383^2 + 5688^2 .

It is not a de Polignac number, because 51564033 - 2¹ = 51564031 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 51563988 and 51564006.

It is not an unprimeable number, because it can be changed into a prime (51564031) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26353 + ... + 28241.

It is an arithmetic number, because the mean of its divisors is an integer number (3864861).

Almost surely, 2^51564033 is an apocalyptic number.

It is an amenable number.

51564033 is a deficient number, since it is larger than the sum of its proper divisors (25733187).

51564033 is a wasteful number, since it uses less digits than its factorization.

51564033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2238 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 51564033 is about 7180.8100517978. The cubic root of 51564033 is about 372.2050768304.

The spelling of 51564033 in words is "fifty-one million, five hundred sixty-four thousand, thirty-three".