51726564 has 18 divisors (see below), whose sum is σ = 130753350. Its totient is φ = 17242176.

The previous prime is 51726557. The next prime is 51726581. The reversal of 51726564 is 46562715.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 32012964 + 19713600 = 5658^2 + 4440^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1436849 = 51726564 / (5 + 1 + 7 + 2 + 6 + 5 + 6 + 4).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 718389 + ... + 718460.

It is an arithmetic number, because the mean of its divisors is an integer number (7264075).

Almost surely, 2^51726564 is an apocalyptic number.

It is an amenable number.

51726564 is an abundant number, since it is smaller than the sum of its proper divisors (79026786).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51726564 is a wasteful number, since it uses less digits than its factorization.

51726564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436859 (or 1436854 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 51726564 is about 7192.1181859032. The cubic root of 51726564 is about 372.5957329429.

It can be divided in two parts, 51 and 726564, that added together give a triangular number (726615 = T₁₂₀₅).

The spelling of 51726564 in words is "fifty-one million, seven hundred twenty-six thousand, five hundred sixty-four".