52005933 has 12 divisors (see below), whose sum is σ = 85851168. Its totient is φ = 29717640.

The previous prime is 52005929. The next prime is 52005949. The reversal of 52005933 is 33950025.

It is not a de Polignac number, because 52005933 - 2² = 52005929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 52005897 and 52005906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52005913) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 412683 + ... + 412808.

It is an arithmetic number, because the mean of its divisors is an integer number (7154264).

Almost surely, 2^52005933 is an apocalyptic number.

It is an amenable number.

52005933 is a deficient number, since it is larger than the sum of its proper divisors (33845235).

52005933 is a wasteful number, since it uses less digits than its factorization.

52005933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825504 (or 825501 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 52005933 is about 7211.5139187275. The cubic root of 52005933 is about 373.2653106474.

Adding to 52005933 its reverse (33950025), we get a palindrome (85955958).

The spelling of 52005933 in words is "fifty-two million, five thousand, nine hundred thirty-three".