52000101 has 6 divisors (see below), whose sum is σ = 75111270. Its totient is φ = 34666728.

The previous prime is 52000087. The next prime is 52000139. The reversal of 52000101 is 10100025.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 31069476 + 20930625 = 5574^2 + 4575^2 .

It is not a de Polignac number, because 52000101 - 2¹⁷ = 51869029 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 5777789 = 52000101 / (5 + 2 + 0 + 0 + 0 + 1 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52000301) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2888886 + ... + 2888903.

It is an arithmetic number, because the mean of its divisors is an integer number (12518545).

Almost surely, 2^52000101 is an apocalyptic number.

It is an amenable number.

52000101 is a deficient number, since it is larger than the sum of its proper divisors (23111169).

52000101 is a wasteful number, since it uses less digits than its factorization.

52000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5777795 (or 5777792 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 52000101 is about 7211.1095540146. The cubic root of 52000101 is about 373.2513573377.

Adding to 52000101 its reverse (10100025), we get a palindrome (62100126).

The spelling of 52000101 in words is "fifty-two million, one hundred one", and thus it is an aban number.