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608797865025 = 34527224772
BaseRepresentation
bin10001101101111110010…
…11100011010001000001
32011012102011120220110000
420312333023203101001
534433304223140100
61143402231030213
761661402320200
oct10667713432101
92135364526400
10608797865025
1121520a583829
1299ba520b369
13455425867bc
14216748bd237
1510c8241c900
hex8dbf2e3441

608797865025 has 135 divisors (see below), whose sum is σ = 1312348862649. Its totient is φ = 278195238720.

The previous prime is 608797865003. The next prime is 608797865029. The reversal of 608797865025 is 520568797806.

The square root of 608797865025 is 780255.

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

608797865025 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 4 ways, for example, as 11837657601 + 596960207424 = 108801^2 + 772632^2 .

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

It is not a de Polignac number, because 608797865025 - 219 = 608797340737 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (608797865029) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 245779087 + ... + 245781563.

Almost surely, 2608797865025 is an apocalyptic number.

608797865025 is the 780255-th square number.

608797865025 is the 390128-th centered octagonal number.

It is an amenable number.

608797865025 is an abundant number, since it is smaller than the sum of its proper divisors (703550997624).

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

608797865025 is an frugal number, since it uses more digits than its factorization.

608797865025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4990 (or 2492 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 608797865025 in words is "six hundred eight billion, seven hundred ninety-seven million, eight hundred sixty-five thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 75 81 105 135 147 175 189 225 245 315 405 441 525 567 675 735 945 1225 1323 1575 2025 2205 2477 2835 3675 3969 4725 6615 7431 11025 12385 14175 17339 19845 22293 33075 37155 52017 61925 66879 86695 99225 111465 121373 156051 185775 200637 260085 334395 364119 433475 468153 557325 606865 780255 1003185 1092357 1300425 1404459 1671975 1820595 2340765 3034325 3277071 3901275 5015925 5461785 6135529 7022295 9102975 9831213 11703825 16385355 18406587 27308925 30677645 35111475 42948703 49156065 55219761 81926775 92032935 128846109 153388225 165659283 214743515 245780325 276098805 300640921 386538327 460164675 496977849 644230545 828296415 901922763 1073717575 1159614981 1380494025 1503204605 1932691635 2484889245 2705768289 3221152725 3478844943 4141482075 4509613815 5798074905 7516023025 8117304867 9663458175 12424446225 13528841445 17394224715 22548069075 24351914601 28990374525 40586524335 67644207225 86971123575 121759573005 202932621675 608797865025