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1056606561 = 322916372473
BaseRepresentation
bin111110111110101…
…000100101100001
32201122012011201100
4332332220211201
54130442402221
6252502425013
735120002413
oct7676504541
92648164640
101056606561
114a247716a
12255a32169
1313ab996aa
14a04849b3
1562b63926
hex3efa8961

1056606561 has 24 divisors (see below), whose sum is σ = 1580440680. Its totient is φ = 679424256.

The previous prime is 1056606541. The next prime is 1056606581. The reversal of 1056606561 is 1656066501.

It is an interprime number because it is at equal distance from previous prime (1056606541) and next prime (1056606581).

It can be written as a sum of positive squares in 4 ways, for example, as 53934336 + 1002672225 = 7344^2 + 31665^2 .

It is not a de Polignac number, because 1056606561 - 26 = 1056606497 is a prime.

It is a super-2 number, since 2×10566065612 = 2232834849496493442, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1056606541) 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 23 ways as a sum of consecutive naturals, for example, 426021 + ... + 428493.

It is an arithmetic number, because the mean of its divisors is an integer number (65851695).

Almost surely, 21056606561 is an apocalyptic number.

It is an amenable number.

1056606561 is a deficient number, since it is larger than the sum of its proper divisors (523834119).

1056606561 is a wasteful number, since it uses less digits than its factorization.

1056606561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4145 (or 4142 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 1056606561 is about 32505.4850909812. The cubic root of 1056606561 is about 1018.5236108740.

The spelling of 1056606561 in words is "one billion, fifty-six million, six hundred six thousand, five hundred sixty-one".

Divisors: 1 3 9 29 87 261 1637 2473 4911 7419 14733 22257 47473 71717 142419 215151 427257 645453 4048301 12144903 36434709 117400729 352202187 1056606561