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80532503325 = 32522237160001
BaseRepresentation
bin100101100000000011…
…1000111101100011101
321200212110010001020100
41023000013013230131
52304412310101300
6100555055011313
75550445661301
oct1130007075435
9250773101210
1080532503325
113117655377a
1213736209b39
13779555a441
143c7d791d01
152165107700
hex12c01c7b1d

80532503325 has 36 divisors (see below), whose sum is σ = 144308043828. Its totient is φ = 42931200000.

The previous prime is 80532503323. The next prime is 80532503327. The reversal of 80532503325 is 52330523508.

80532503325 is a `hidden beast` number, since 8 + 0 + 5 + 325 + 0 + 3 + 325 = 666.

It is an interprime number because it is at equal distance from previous prime (80532503323) and next prime (80532503327).

It can be written as a sum of positive squares in 6 ways, for example, as 12577398201 + 67955105124 = 112149^2 + 260682^2 .

It is not a de Polignac number, because 80532503325 - 21 = 80532503323 is a prime.

It is a super-2 number, since 2×805325033252 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 80532503325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80532503323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 423325 + ... + 583325.

It is an arithmetic number, because the mean of its divisors is an integer number (4008556773).

Almost surely, 280532503325 is an apocalyptic number.

It is an amenable number.

80532503325 is a deficient number, since it is larger than the sum of its proper divisors (63775540503).

80532503325 is a wasteful number, since it uses less digits than its factorization.

80532503325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162254 (or 162246 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

It can be divided in two parts, 80532 and 503325, that multiplied together give a square (40533768900 = 2013302).

The spelling of 80532503325 in words is "eighty billion, five hundred thirty-two million, five hundred three thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 2237 6711 11185 20133 33555 55925 100665 160001 167775 480003 503325 800005 1440009 2400015 4000025 7200045 12000075 36000225 357922237 1073766711 1789611185 3221300133 5368833555 8948055925 16106500665 26844167775 80532503325