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5112965025 = 3452722272
BaseRepresentation
bin1001100001100000…
…11010011110100001
3111012022221112110000
410300300122132201
540432404340100
62203204330213
7240463325400
oct46060323641
914168845400
105112965025
112194154333
12ba83a3969
136363916bc
143670a9637
151edd1c900
hex130c1a7a1

5112965025 has 135 divisors (see below), whose sum is σ = 11066008899. Its totient is φ = 2327058720.

The previous prime is 5112964981. The next prime is 5112965051. The reversal of 5112965025 is 5205692115.

The square root of 5112965025 is 71505.

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

5112965025 is a `hidden beast` number, since 51 + 12 + 96 + 502 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1840667409 + 3272297616 = 42903^2 + 57204^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 5112965025 - 217 = 5112833953 is a prime.

It is a super-2 number, since 2×51129650252 = 52284822693746501250, which contains 22 as substring.

It is a Curzon 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, 22523962 + ... + 22524188.

Almost surely, 25112965025 is an apocalyptic number.

5112965025 is the 71505-th square number.

5112965025 is the 35753-rd centered octagonal number.

It is an amenable number.

5112965025 is an abundant number, since it is smaller than the sum of its proper divisors (5953043874).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5112965025 is an equidigital number, since it uses as much as digits as its factorization.

5112965025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The cubic root of 5112965025 is about 1722.7579946708.

Multiplying 5112965025 by its sum of digits (36), we get a square (184066740900 = 4290302).

The spelling of 5112965025 in words is "five billion, one hundred twelve million, nine hundred sixty-five thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 75 81 105 135 147 175 189 225 227 245 315 405 441 525 567 675 681 735 945 1135 1225 1323 1575 1589 2025 2043 2205 2835 3405 3675 3969 4725 4767 5675 6129 6615 7945 10215 11025 11123 14175 14301 17025 18387 19845 23835 30645 33075 33369 39725 42903 51075 51529 55615 71505 91935 99225 100107 119175 128709 153225 154587 166845 214515 257645 278075 300321 357525 360703 459675 463761 500535 643545 772935 834225 900963 1072575 1082109 1288225 1391283 1501605 1803515 2318805 2502675 2524921 3217725 3246327 3864675 4173849 4504815 5410545 6956415 7508025 7574763 9017575 9738981 11594025 12624605 16231635 20869245 22524075 22724289 27052725 29216943 34782075 37873815 48694905 63123025 68172867 81158175 104346225 113621445 146084715 189369075 204518601 243474525 340864335 568107225 730423575 1022593005 1704321675 5112965025