585252161 has 8 divisors (see below), whose sum is σ = 652005480. Its totient is φ = 521603712.

The previous prime is 585252139. The next prime is 585252191. The reversal of 585252161 is 161252585.

585252161 = T₃₉₈ + T₃₉₉ + ... + T₁₅₂₈.

It can be written as a sum of positive squares in 4 ways, for example, as 11937025 + 573315136 = 3455^2 + 23944^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 585252161 - 2²² = 581057857 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (585252191) 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 7 ways as a sum of consecutive naturals, for example, 775820 + ... + 776573.

It is an arithmetic number, because the mean of its divisors is an integer number (81500685).

Almost surely, 2^585252161 is an apocalyptic number.

It is an amenable number.

585252161 is a deficient number, since it is larger than the sum of its proper divisors (66753319).

585252161 is a wasteful number, since it uses less digits than its factorization.

585252161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552435.

The product of its digits is 24000, while the sum is 35.

The square root of 585252161 is about 24191.9854703991. The cubic root of 585252161 is about 836.4648107151.

The spelling of 585252161 in words is "five hundred eighty-five million, two hundred fifty-two thousand, one hundred sixty-one".