52005263 has 4 divisors (see below), whose sum is σ = 52171728. Its totient is φ = 51838800.

The previous prime is 52005251. The next prime is 52005271. The reversal of 52005263 is 36250025.

It is a happy number.

52005263 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 52005263 - 2¹⁴ = 51988879 is a prime.

It is a super-3 number, since 3×52005263³ (a number of 24 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52005293) 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 3 ways as a sum of consecutive naturals, for example, 82763 + ... + 83388.

It is an arithmetic number, because the mean of its divisors is an integer number (13042932).

Almost surely, 2^52005263 is an apocalyptic number.

52005263 is a deficient number, since it is larger than the sum of its proper divisors (166465).

52005263 is a wasteful number, since it uses less digits than its factorization.

52005263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166464.

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 52005263 is about 7211.4674650864. The cubic root of 52005263 is about 373.2637076968.

Adding to 52005263 its reverse (36250025), we get a palindrome (88255288).

The spelling of 52005263 in words is "fifty-two million, five thousand, two hundred sixty-three".