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52505403201405 = 3357211721574977
BaseRepresentation
bin10111111000000110111011…
…11010000001011101111101
320212220110121211021220021000
423330003131322001131331
523340222031204421110
6303400352123000513
714026250560310400
oct1374033572013575
9225813554256230
1052505403201405
1115803464326580
125a7ba95369139
13233b3136564bb
14cd73bcb37d37
15610bbccbe1c0
hex2fc0dde8177d

52505403201405 has 96 divisors (see below), whose sum is σ = 118453748388480. Its totient is φ = 21820427274240.

The previous prime is 52505403201367. The next prime is 52505403201409. The reversal of 52505403201405 is 50410230450525.

52505403201405 is a `hidden beast` number, since 5 + 2 + 5 + 0 + 5 + 40 + 3 + 201 + 405 = 666.

It is not a de Polignac number, because 52505403201405 - 210 = 52505403200381 is a prime.

It is a super-2 number, since 2×525054032014052 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 52505403201405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52505403201409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 360714724 + ... + 360860253.

It is an arithmetic number, because the mean of its divisors is an integer number (1233893212380).

Almost surely, 252505403201405 is an apocalyptic number.

52505403201405 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52505403201405 is an abundant number, since it is smaller than the sum of its proper divisors (65948345187075).

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

52505403201405 is a wasteful number, since it uses less digits than its factorization.

52505403201405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721575016 (or 721575003 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 52505403201405 in words is "fifty-two trillion, five hundred five billion, four hundred three million, two hundred one thousand, four hundred five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 49 55 63 77 99 105 135 147 165 189 231 245 297 315 385 441 495 539 693 735 945 1155 1323 1485 1617 2079 2205 2695 3465 4851 6615 8085 10395 14553 24255 72765 721574977 2164724931 3607874885 5051024839 6494174793 7937324747 10823624655 15153074517 19482524379 23811974241 25255124195 32470873965 35357173873 39686623735 45459223551 55561273229 71435922723 75765372585 97412621895 106071521619 119059871205 136377670653 166683819687 176785869365 214307768169 227296117755 277806366145 318214564857 357179613615 388928912603 500051459061 530357608095 681888353265 833419098435 954643694571 1071538840845 1166786737809 1500154377183 1591072824285 1944644563015 2500257295305 3500360213427 4773218472855 5833933689045 7500771885915 10501080640281 17501801067135 52505403201405