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561113355625 = 54194832
BaseRepresentation
bin10000010101001001111…
…01100101010101101001
31222122022221202211210021
420022210331211111221
533143130004340000
61105434422320441
755352624553664
oct10124475452551
91878287684707
10561113355625
111a6a6a952079
12908b7889121
1340bb3453974
141d22d8d06db
15e8e0ea911a
hex82a4f65569

561113355625 has 75 divisors (see below), whose sum is σ = 749145238193. Its totient is φ = 420141186000.

The previous prime is 561113355623. The next prime is 561113355653. The reversal of 561113355625 is 526553311165.

The square root of 561113355625 is 749075.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 43991287081 + 517122068544 = 209741^2 + 719112^2 .

It is not a de Polignac number, because 561113355625 - 21 = 561113355623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (561113355623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 6760401834 + ... + 6760401916.

Almost surely, 2561113355625 is an apocalyptic number.

561113355625 is the 749075-th square number.

561113355625 is the 374538-th centered octagonal number.

It is an amenable number.

561113355625 is a deficient number, since it is larger than the sum of its proper divisors (188031882568).

561113355625 is an frugal number, since it uses more digits than its factorization.

561113355625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 107 counting only the distinct ones).

The product of its digits is 405000, while the sum is 43.

The spelling of 561113355625 in words is "five hundred sixty-one billion, one hundred thirteen million, three hundred fifty-five thousand, six hundred twenty-five".

Divisors: 1 5 19 25 83 95 125 361 415 475 625 1577 1805 2075 2375 6859 6889 7885 9025 10375 11875 29963 34295 34445 39425 45125 51875 130321 130891 149815 171475 172225 197125 225625 569297 651605 654455 749075 857375 861125 985625 2486929 2846485 3258025 3272275 3745375 4286875 4305625 10816643 12434645 14232425 16290125 16361375 18726875 47251651 54083215 62173225 71162125 81450625 81806875 236258255 270416075 310866125 355810625 897781369 1181291275 1352080375 1554330625 4488906845 5906456375 6760401875 22444534225 29532281875 112222671125 561113355625