52005121 has 12 divisors (see below), whose sum is σ = 60618132. Its totient is φ = 44485728.

The previous prime is 52005119. The next prime is 52005169. The reversal of 52005121 is 12150025.

It can be written as a sum of positive squares in 2 ways, for example, as 29811600 + 22193521 = 5460^2 + 4711^2 .

It is not a de Polignac number, because 52005121 - 2¹ = 52005119 is a prime.

It is a super-2 number, since 2×52005121² = 5409065220449282, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 52005095 and 52005104.

It is not an unprimeable number, because it can be changed into a prime (52005181) 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, 37191 + ... + 38563.

It is an arithmetic number, because the mean of its divisors is an integer number (5051511).

Almost surely, 2^52005121 is an apocalyptic number.

It is an amenable number.

52005121 is a deficient number, since it is larger than the sum of its proper divisors (8613011).

52005121 is a wasteful number, since it uses less digits than its factorization.

52005121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 52005121 is about 7211.4576196494. The cubic root of 52005121 is about 373.2633679652.

Adding to 52005121 its reverse (12150025), we get a palindrome (64155146).

The spelling of 52005121 in words is "fifty-two million, five thousand, one hundred twenty-one".