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8505525 = 352717953
BaseRepresentation
bin100000011100…
…100010110101
3121000010101110
4200130202311
54134134100
6502145233
7132203310
oct40344265
917003343
108505525
11488a366
122a22219
1319ba572
1411b5977
15b30250
hex81c8b5

8505525 has 48 divisors (see below), whose sum is σ = 17034624. Its totient is φ = 3655680.

The previous prime is 8505517. The next prime is 8505527. The reversal of 8505525 is 5255058.

It is not a de Polignac number, because 8505525 - 23 = 8505517 is a prime.

It is a Curzon number.

8505525 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 8505492 and 8505501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8505527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8449 + ... + 9401.

It is an arithmetic number, because the mean of its divisors is an integer number (354888).

Almost surely, 28505525 is an apocalyptic number.

8505525 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8505525 is an abundant number, since it is smaller than the sum of its proper divisors (8529099).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8505525 is a wasteful number, since it uses less digits than its factorization.

8505525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 30.

The square root of 8505525 is about 2916.4233231820. The cubic root of 8505525 is about 204.1269634490.

The spelling of 8505525 in words is "eight million, five hundred five thousand, five hundred twenty-five".

Divisors: 1 3 5 7 15 17 21 25 35 51 75 85 105 119 175 255 357 425 525 595 953 1275 1785 2859 2975 4765 6671 8925 14295 16201 20013 23825 33355 48603 71475 81005 100065 113407 166775 243015 340221 405025 500325 567035 1215075 1701105 2835175 8505525