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25212042135 = 3257232712131
BaseRepresentation
bin10111011110110000…
…010011101110010111
32102002001220102221100
4113132300103232113
5403113240322020
615325433321143
71551530552010
oct273660235627
972061812840
1025212042135
11a7685a4465
124a775661b3
1324ba448a37
1413125c2007
159c8609a90
hex5dec13b97

25212042135 has 144 divisors (see below), whose sum is σ = 52969932288. Its totient is φ = 10864022400.

The previous prime is 25212042113. The next prime is 25212042139. The reversal of 25212042135 is 53124021252.

25212042135 is a `hidden beast` number, since 2 + 521 + 2 + 0 + 4 + 2 + 135 = 666.

It is not a de Polignac number, because 25212042135 - 25 = 25212042103 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 25212042099 and 25212042108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25212042139) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11830020 + ... + 11832150.

It is an arithmetic number, because the mean of its divisors is an integer number (367846752).

Almost surely, 225212042135 is an apocalyptic number.

25212042135 is an abundant number, since it is smaller than the sum of its proper divisors (27757890153).

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

25212042135 is a wasteful number, since it uses less digits than its factorization.

25212042135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 25212042135 its reverse (53124021252), we get a palindrome (78336063387).

The spelling of 25212042135 in words is "twenty-five billion, two hundred twelve million, forty-two thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 23 35 45 63 69 71 105 115 161 207 213 315 345 355 483 497 529 639 805 1035 1065 1449 1491 1587 1633 2131 2415 2485 2645 3195 3703 4473 4761 4899 6393 7245 7455 7935 8165 10655 11109 11431 14697 14917 18515 19179 22365 23805 24495 31965 33327 34293 37559 44751 49013 55545 57155 73485 74585 95895 102879 112677 134253 147039 151301 166635 171465 187795 223755 245065 262913 338031 343091 441117 453903 514395 563385 671265 735195 756505 788739 1029273 1059107 1127299 1314565 1361709 1690155 1715455 2205585 2269515 2366217 3087819 3177321 3381897 3479923 3943695 5146365 5295535 5636495 6808545 7891093 9531963 10145691 10439769 11831085 15439095 15886605 16909485 17399615 23673279 24359461 31319307 39455465 47659815 50728455 52198845 71019837 73078383 80038229 118366395 121797305 156596535 219235149 240114687 355099185 365391915 400191145 560267603 720344061 1096175745 1200573435 1680802809 2801338015 3601720305 5042408427 8404014045 25212042135