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526425404524625 = 535619774940001
BaseRepresentation
bin111011110110001111111011…
…1001111001100100001010001
32120000220202222120020122020202
41313230133313033030201101
51022444423212024242000
65103340254154144545
7215611660161341324
oct16754376717144121
92500822876218222
10526425404524625
1114280a83aa76a51
124b06092aa22155
1319797919915c28
1493dd1a86347bb
1540cd7ed591dd5
hex1dec7f73cc851

526425404524625 has 16 divisors (see below), whose sum is σ = 656990604253776. Its totient is φ = 421132824000000.

The previous prime is 526425404524471. The next prime is 526425404524627.

526425404524625 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 161533957579201 + 364891446945424 = 12709601^2 + 19102132^2 .

It is not a de Polignac number, because 526425404524625 - 212 = 526425404520529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (526425404524627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30445376 + ... + 44494625.

It is an arithmetic number, because the mean of its divisors is an integer number (41061912765861).

Almost surely, 2526425404524625 is an apocalyptic number.

It is an amenable number.

526425404524625 is a deficient number, since it is larger than the sum of its proper divisors (130565199729151).

526425404524625 is an equidigital number, since it uses as much as digits as its factorization.

526425404524625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74996213 (or 74996203 counting only the distinct ones).

The product of its (nonzero) digits is 92160000, while the sum is 56.

The spelling of 526425404524625 in words is "five hundred twenty-six trillion, four hundred twenty-five billion, four hundred four million, five hundred twenty-four thousand, six hundred twenty-five".

Divisors: 1 5 25 125 56197 280985 1404925 7024625 74940001 374700005 1873500025 9367500125 4211403236197 21057016180985 105285080904925 526425404524625