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1053493258935 = 3513411934611481
BaseRepresentation
bin11110101010010010001…
…01110110101010110111
310201201020202102112111110
433111021011312222313
5114230023233241220
62123545040410103
7136053354644115
oct17251105665267
93651222375443
101053493258935
113768695310a7
12150210916933
1378461984790
1438dbca9cab5
151c60cb35be0
hexf549176ab7

1053493258935 has 128 divisors (see below), whose sum is σ = 1874478557952. Its totient is φ = 501940224000.

The previous prime is 1053493258921. The next prime is 1053493258949. The reversal of 1053493258935 is 5398523943501.

It is an interprime number because it is at equal distance from previous prime (1053493258921) and next prime (1053493258949).

It is not a de Polignac number, because 1053493258935 - 26 = 1053493258871 is a prime.

It is a super-3 number, since 3×10534932589353 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 711338395 + ... + 711339875.

It is an arithmetic number, because the mean of its divisors is an integer number (14644363734).

Almost surely, 21053493258935 is an apocalyptic number.

1053493258935 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1053493258935 is a deficient number, since it is larger than the sum of its proper divisors (820985299017).

1053493258935 is a wasteful number, since it uses less digits than its factorization.

1053493258935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197.

The product of its (nonzero) digits is 17496000, while the sum is 57.

The spelling of 1053493258935 in words is "one trillion, fifty-three billion, four hundred ninety-three million, two hundred fifty-eight thousand, nine hundred thirty-five".

Divisors: 1 3 5 13 15 39 41 65 123 193 195 205 461 533 579 615 965 1383 1481 1599 2305 2509 2665 2895 4443 5993 6915 7405 7527 7913 7995 12545 17979 18901 19253 22215 23739 29965 37635 39565 56703 57759 60721 88973 89895 94505 96265 102869 118695 182163 245713 266919 283515 285833 288795 303605 308607 444865 514345 682741 737139 789373 857499 910815 1156649 1228565 1334595 1429165 1543035 2048223 2368119 3413705 3469947 3647893 3685695 3715829 3946865 4287495 5783245 8875633 10241115 10943679 11147487 11719153 11840595 17349735 18239465 18579145 26626899 27992381 35157459 44378165 47422609 54718395 55737435 58595765 83977143 131769013 133134495 139961905 142267827 152348989 175787295 237113045 363900953 395307039 419885715 457046967 658845065 711339135 761744945 1091702859 1712997169 1819504765 1976535195 2285234835 5138991507 5402529533 5458514295 8564985845 16207588599 25694957535 27012647665 70232883929 81037942995 210698651787 351164419645 1053493258935