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52773575625 = 345410212
BaseRepresentation
bin110001001001100011…
…001101101111001001
312001012212210102010000
4301021203031233021
51331040013410000
640124400513213
73545530664031
oct611143155711
9161185712100
1052773575625
1120421342511
12a28991b809
134c90577634
1427a8c368c1
15158d110000
hexc498cdbc9

52773575625 has 75 divisors (see below), whose sum is σ = 98608296963. Its totient is φ = 28118340000.

The previous prime is 52773575611. The next prime is 52773575627. The reversal of 52773575625 is 52657537725.

The square root of 52773575625 is 229725.

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

52773575625 is a `hidden beast` number, since 5 + 2 + 7 + 7 + 3 + 5 + 7 + 5 + 625 = 666.

52773575625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 36724739769 + 16048835856 = 191637^2 + 126684^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 52773575625 - 25 = 52773575593 is a prime.

Its product of digits (15435000) is a multiple of the sum of its prime divisors (1029).

It is not an unprimeable number, because it can be changed into a prime (52773575627) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 51687615 + ... + 51688635.

Almost surely, 252773575625 is an apocalyptic number.

52773575625 is the 229725-th square number.

52773575625 is the 114863-rd centered octagonal number.

It is an amenable number.

52773575625 is a deficient number, since it is larger than the sum of its proper divisors (45834721338).

52773575625 is an frugal number, since it uses more digits than its factorization.

52773575625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074 (or 1029 counting only the distinct ones).

The product of its digits is 15435000, while the sum is 54.

The spelling of 52773575625 in words is "fifty-two billion, seven hundred seventy-three million, five hundred seventy-five thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 225 375 405 625 675 1021 1125 1875 2025 3063 3375 5105 5625 9189 10125 15315 16875 25525 27567 45945 50625 76575 82701 127625 137835 229725 382875 413505 638125 689175 1042441 1148625 1914375 2067525 3127323 3445875 5212205 5743125 9381969 10337625 15636615 17229375 26061025 28145907 46909845 51688125 78183075 84437721 130305125 140729535 234549225 390915375 422188605 651525625 703647675 1172746125 1954576875 2110943025 3518238375 5863730625 10554715125 17591191875 52773575625