52585101 has 12 divisors (see below), whose sum is σ = 76019580. Its totient is φ = 35027520.

The previous prime is 52585081. The next prime is 52585133. The reversal of 52585101 is 10158525.

It can be written as a sum of positive squares in 2 ways, for example, as 50424201 + 2160900 = 7101^2 + 1470^2 .

It is not a de Polignac number, because 52585101 - 2⁵ = 52585069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52585201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17905 + ... + 20633.

It is an arithmetic number, because the mean of its divisors is an integer number (6334965).

Almost surely, 2^52585101 is an apocalyptic number.

It is an amenable number.

52585101 is a deficient number, since it is larger than the sum of its proper divisors (23434479).

52585101 is a wasteful number, since it uses less digits than its factorization.

52585101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4876 (or 4873 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The square root of 52585101 is about 7251.5585221385. The cubic root of 52585101 is about 374.6458309434.

The spelling of 52585101 in words is "fifty-two million, five hundred eighty-five thousand, one hundred one".