52066961 has 8 divisors (see below), whose sum is σ = 52554600. Its totient is φ = 51581952.

The previous prime is 52066939. The next prime is 52066967. The reversal of 52066961 is 16966025.

It is a happy number.

52066961 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 4 ways, for example, as 672400 + 51394561 = 820^2 + 7169^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-52066961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52066967) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 66971 + ... + 67743.

It is an arithmetic number, because the mean of its divisors is an integer number (6569325).

Almost surely, 2^52066961 is an apocalyptic number.

It is an amenable number.

52066961 is a deficient number, since it is larger than the sum of its proper divisors (487639).

52066961 is a wasteful number, since it uses less digits than its factorization.

With its successor (52066962) it forms an eRAP, since the sums of their prime factors are consecutive (1315 and 1316).

52066961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315.

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 52066961 is about 7215.7439671873. The cubic root of 52066961 is about 373.4112602175.

It can be divided in two parts, 5206 and 6961, that added together give a cube (12167 = 23³).

The spelling of 52066961 in words is "fifty-two million, sixty-six thousand, nine hundred sixty-one".