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1056007521 = 32412861809
BaseRepresentation
bin111110111100010…
…110010101100001
32201121001201222200
4332330112111201
54130314220041
6252441523413
735111626062
oct7674262541
92647051880
101056007521
114a20a8098
122557a3569
1313aa19b2a
14a036a569
1562a961b6
hex3ef16561

1056007521 has 12 divisors (see below), whose sum is σ = 1562548260. Its totient is φ = 686833920.

The previous prime is 1056007507. The next prime is 1056007541. The reversal of 1056007521 is 1257006501.

1056007521 is a `hidden beast` number, since 1 + 0 + 5 + 600 + 7 + 52 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 258566400 + 797441121 = 16080^2 + 28239^2 .

It is not a de Polignac number, because 1056007521 - 226 = 988898657 is a prime.

It is a super-2 number, since 2×10560075212 = 2230303768817130882, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1056007501) 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 11 ways as a sum of consecutive naturals, for example, 1430536 + ... + 1431273.

It is an arithmetic number, because the mean of its divisors is an integer number (130212355).

Almost surely, 21056007521 is an apocalyptic number.

It is an amenable number.

1056007521 is a deficient number, since it is larger than the sum of its proper divisors (506540739).

1056007521 is a wasteful number, since it uses less digits than its factorization.

1056007521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2861856 (or 2861853 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 1056007521 is about 32496.2693397258. The cubic root of 1056007521 is about 1018.3310914924.

The spelling of 1056007521 in words is "one billion, fifty-six million, seven thousand, five hundred twenty-one".

Divisors: 1 3 9 41 123 369 2861809 8585427 25756281 117334169 352002507 1056007521