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1056567225 = 352717311633
BaseRepresentation
bin111110111110011…
…110111110111001
32201122010011202110
4332332132332321
54130440122400
6252501522533
735116446630
oct7676367671
92648104673
101056567225
114a244a65a
12255a13449
1313ab8480c
14a0474517
1562b56e50
hex3ef9efb9

1056567225 has 48 divisors (see below), whose sum is σ = 2008121472. Its totient is φ = 480168960.

The previous prime is 1056567167. The next prime is 1056567241. The reversal of 1056567225 is 5227656501.

It is not a de Polignac number, because 1056567225 - 213 = 1056559033 is a prime.

It is a super-2 number, since 2×10565672252 = 2232668601888401250, which contains 22 as substring.

It is a Curzon 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 47 ways as a sum of consecutive naturals, for example, 85009 + ... + 96641.

It is an arithmetic number, because the mean of its divisors is an integer number (41835864).

Almost surely, 21056567225 is an apocalyptic number.

1056567225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1056567225 is a deficient number, since it is larger than the sum of its proper divisors (951554247).

1056567225 is a wasteful number, since it uses less digits than its factorization.

1056567225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11826 (or 11821 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 1056567225 is about 32504.8800182373. The cubic root of 1056567225 is about 1018.5109713090.

The spelling of 1056567225 in words is "one billion, fifty-six million, five hundred sixty-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 173 175 519 525 865 1211 2595 3633 4325 6055 11633 12975 18165 30275 34899 58165 81431 90825 174495 244293 290825 407155 872475 1221465 2012509 2035775 6037527 6107325 10062545 14087563 30187635 42262689 50312725 70437815 150938175 211313445 352189075 1056567225