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528217712825 = 52111920791683
BaseRepresentation
bin1111010111111000011…
…10101010100010111001
31212111102101211001020112
413223330032222202321
532123242213302300
61042354310434105
753106504322565
oct7537416524271
91774371731215
10528217712825
1119401a145820
1286457062935
133aa701b517a
141b7cca866a5
15db18051e35
hex7afc3aa8b9

528217712825 has 12 divisors (see below), whose sum is σ = 714534506448. Its totient is φ = 384158336400.

The previous prime is 528217712819. The next prime is 528217712831.

528217712825 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (528217712819) and next prime (528217712831).

It is not a de Polignac number, because 528217712825 - 212 = 528217708729 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 960395567 + ... + 960396116.

It is an arithmetic number, because the mean of its divisors is an integer number (59544542204).

Almost surely, 2528217712825 is an apocalyptic number.

528217712825 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

528217712825 is a deficient number, since it is larger than the sum of its proper divisors (186316793623).

528217712825 is a wasteful number, since it uses less digits than its factorization.

528217712825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920791704 (or 1920791699 counting only the distinct ones).

The product of its digits is 1254400, while the sum is 50.

The spelling of 528217712825 in words is "five hundred twenty-eight billion, two hundred seventeen million, seven hundred twelve thousand, eight hundred twenty-five".

Divisors: 1 5 11 25 55 275 1920791683 9603958415 21128708513 48019792075 105643542565 528217712825