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65012250625 = 5472312472
BaseRepresentation
bin111100100011000010…
…000011100000000001
320012210211000112000021
4330203002003200001
52031121114010000
645511034053441
74461031004200
oct744302034001
9205724015007
1065012250625
11256317a2153
121072457a281
136190cb7b6a
14320a423237
151a577c911a
hexf23083801

65012250625 has 135 divisors (see below), whose sum is σ = 99771544917. Its totient is φ = 42223860000.

The previous prime is 65012250607. The next prime is 65012250637. The reversal of 65012250625 is 52605221056.

The square root of 65012250625 is 254975.

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 5096960449 + 59915290176 = 71393^2 + 244776^2 .

It is not a de Polignac number, because 65012250625 - 27 = 65012250497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1383239352 + ... + 1383239398.

Almost surely, 265012250625 is an apocalyptic number.

65012250625 is the 254975-th square number.

65012250625 is the 127488-th centered octagonal number.

It is an amenable number.

65012250625 is a deficient number, since it is larger than the sum of its proper divisors (34759294292).

65012250625 is an frugal number, since it uses more digits than its factorization.

65012250625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The spelling of 65012250625 in words is "sixty-five billion, twelve million, two hundred fifty thousand, six hundred twenty-five".

Divisors: 1 5 7 25 31 35 47 49 125 155 175 217 235 245 329 625 775 875 961 1085 1175 1225 1457 1519 1645 2209 2303 3875 4375 4805 5425 5875 6125 6727 7285 7595 8225 10199 11045 11515 15463 19375 24025 27125 29375 30625 33635 36425 37975 41125 45167 47089 50995 55225 57575 68479 71393 77315 108241 120125 135625 168175 182125 189875 205625 225835 235445 254975 276125 287875 316169 342395 356965 386575 479353 541205 600625 840875 910625 949375 1129175 1177225 1274875 1380625 1439375 1580845 1711975 1784825 1932875 2122849 2213183 2396765 2706025 3355471 4204375 5645875 5886125 6374375 7904225 8559875 8924125 9664375 10614245 11065915 11983825 13530125 14859943 16777355 28229375 29430625 39521125 42799375 44620625 53071225 55329575 59919125 67650625 74299715 83886775 104019601 197605625 265356125 276647875 299595625 371498575 419433875 520098005 1326780625 1383239375 1857492875 2097169375 2600490025 9287464375 13002450125 65012250625