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52031891025 = 34523721372
BaseRepresentation
bin110000011101010101…
…111010011001010001
311222022012011221010000
4300131111322121101
51323030131003100
635523024000213
73521253530202
oct603525723121
9158265157100
1052031891025
1120080711934
12a101460069
134ba2a019ca
14273852b5a9
151547e56900
hexc1d57a651

52031891025 has 135 divisors (see below), whose sum is σ = 99784660899. Its totient is φ = 26803249920.

The previous prime is 52031891003. The next prime is 52031891027. The reversal of 52031891025 is 52019813025.

The square root of 52031891025 is 228105.

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

52031891025 is a `hidden beast` number, since 520 + 31 + 89 + 1 + 0 + 25 = 666.

52031891025 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 13 ways, for example, as 7314867729 + 44717023296 = 85527^2 + 211464^2 .

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

It is not a de Polignac number, because 52031891025 - 25 = 52031890993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (52031891027) 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, 379794757 + ... + 379794893.

Almost surely, 252031891025 is an apocalyptic number.

52031891025 is the 228105-th square number.

52031891025 is the 114053-rd centered octagonal number.

It is an amenable number.

52031891025 is a deficient number, since it is larger than the sum of its proper divisors (47752769874).

52031891025 is an equidigital number, since it uses as much as digits as its factorization.

52031891025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

Multiplying 52031891025 by its sum of digits (36), we get a square (1873148076900 = 13686302).

The spelling of 52031891025 in words is "fifty-two billion, thirty-one million, eight hundred ninety-one thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 37 45 75 81 111 135 137 185 225 333 405 411 555 675 685 925 999 1233 1369 1665 2025 2055 2775 2997 3425 3699 4107 4995 5069 6165 6845 8325 10275 11097 12321 14985 15207 18495 18769 20535 24975 25345 30825 34225 36963 45621 55485 56307 61605 74925 76035 92475 93845 102675 110889 126725 136863 168921 184815 187553 228105 277425 281535 308025 380175 410589 469225 506763 554445 562659 684315 694453 844605 924075 937765 1140525 1407675 1520289 1687977 2052945 2083359 2533815 2772225 2813295 3421575 3472265 4223025 4688825 5063931 6250077 7601445 8439885 10264725 10416795 12669075 14066475 15191793 17361325 18750231 25319655 25694761 31250385 38007225 42199425 52083975 56250693 75958965 77084283 93751155 126598275 128473805 156251925 231252849 281253465 379794825 385421415 468755775 642369025 693758547 1156264245 1406267325 1927107075 2081275641 3468792735 5781321225 10406378205 17343963675 52031891025