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506106511 = 10940111579
BaseRepresentation
bin11110001010101…
…001001010001111
31022021022212121121
4132022221022033
52014030402021
6122115341411
715353556121
oct3612511217
91267285547
10506106511
1123a758349
121215b1867
1380b12711
144b305211
152e672741
hex1e2a928f

506106511 has 8 divisors (see below), whose sum is σ = 512067600. Its totient is φ = 500169600.

The previous prime is 506106509. The next prime is 506106529. The reversal of 506106511 is 115601605.

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 506106511 - 21 = 506106509 is a prime.

It is a super-2 number, since 2×5061065112 = 512287600953186242, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506101511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37920 + ... + 49498.

It is an arithmetic number, because the mean of its divisors is an integer number (64008450).

Almost surely, 2506106511 is an apocalyptic number.

506106511 is a deficient number, since it is larger than the sum of its proper divisors (5961089).

506106511 is a wasteful number, since it uses less digits than its factorization.

506106511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12089.

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 506106511 is about 22496.8111295801. The cubic root of 506106511 is about 796.9186210975.

It can be divided in two parts, 50610 and 6511, that added together give a square (57121 = 2392).

The spelling of 506106511 in words is "five hundred six million, one hundred six thousand, five hundred eleven".

Divisors: 1 109 401 11579 43709 1262111 4643179 506106511