52005023 has 24 divisors (see below), whose sum is σ = 64638000. Its totient is φ = 41572608.

The previous prime is 52005013. The next prime is 52005029. The reversal of 52005023 is 32050025.

52005023 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 52005023 - 2¹⁸ = 51742879 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 52004992 and 52005010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52005029) 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 23 ways as a sum of consecutive naturals, for example, 123908 + ... + 124326.

It is an arithmetic number, because the mean of its divisors is an integer number (2693250).

Almost surely, 2^52005023 is an apocalyptic number.

52005023 is a deficient number, since it is larger than the sum of its proper divisors (12632977).

52005023 is a wasteful number, since it uses less digits than its factorization.

52005023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 52005023 is about 7211.4508249034. The cubic root of 52005023 is about 373.2631335022.

Adding to 52005023 its reverse (32050025), we get a palindrome (84055048).

The spelling of 52005023 in words is "fifty-two million, five thousand, twenty-three".