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132525825778025 = 5289241247145929
BaseRepresentation
bin11110001000100000010010…
…110001001110000101101001
3122101020100022122211022021122
4132020200102301032011221
5114332300342344344100
61145505305054145025
736625450335446531
oct3610402261160551
9571210278738248
10132525825778025
113925498378a809
1212a44486ab2175
1358c41935aaa84
1424a23d9b744c1
15104c47a5e6985
hex788812c4e169

132525825778025 has 24 divisors (see below), whose sum is σ = 166867989017400. Its totient is φ = 104394439987200.

The previous prime is 132525825777971. The next prime is 132525825778037. The reversal of 132525825778025 is 520877528525231.

It can be written as a sum of positive squares in 12 ways, for example, as 13442994927961 + 119082830850064 = 3666469^2 + 10912508^2 .

It is a de Polignac number, because none of the positive numbers 2k-132525825778025 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123036740 + ... + 124109189.

It is an arithmetic number, because the mean of its divisors is an integer number (6952832875725).

Almost surely, 2132525825778025 is an apocalyptic number.

It is an amenable number.

132525825778025 is a deficient number, since it is larger than the sum of its proper divisors (34342163239375).

132525825778025 is a wasteful number, since it uses less digits than its factorization.

132525825778025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247146269 (or 247146264 counting only the distinct ones).

The product of its (nonzero) digits is 94080000, while the sum is 62.

The spelling of 132525825778025 in words is "one hundred thirty-two trillion, five hundred twenty-five billion, eight hundred twenty-five million, seven hundred seventy-eight thousand, twenty-five".

Divisors: 1 5 25 89 241 445 1205 2225 6025 21449 107245 536225 247145929 1235729645 6178648225 21995987681 59562168889 109979938405 297810844445 549899692025 1489054222225 5301033031121 26505165155605 132525825778025