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52354255245325 = 521119101669114827
BaseRepresentation
bin10111110011101101011001…
…10010010101000000001101
320212101000111001202011200121
423321312230302111000031
523330233003320322300
6303203113545424541
714012320152010405
oct1371665462250015
9225330431664617
1052354255245325
1115755351238aa0
125a5673219b151
132329ca63053b7
14ccdd60b23805
1560bcc353481a
hex2f9dacc9500d

52354255245325 has 96 divisors (see below), whose sum is σ = 75302885306880. Its totient is φ = 35706938400000.

The previous prime is 52354255245277. The next prime is 52354255245349.

52354255245325 is nontrivially palindromic in base 10.

52354255245325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 52354255245325 - 217 = 52354255114253 is a prime.

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 95 ways as a sum of consecutive naturals, for example, 3531000562 + ... + 3531015388.

It is an arithmetic number, because the mean of its divisors is an integer number (784405055280).

Almost surely, 252354255245325 is an apocalyptic number.

52354255245325 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52354255245325 is a deficient number, since it is larger than the sum of its proper divisors (22948630061555).

52354255245325 is a wasteful number, since it uses less digits than its factorization.

52354255245325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21659 (or 21654 counting only the distinct ones).

The product of its digits is 36000000, while the sum is 52.

The spelling of 52354255245325 in words is "fifty-two trillion, three hundred fifty-four billion, two hundred fifty-five million, two hundred forty-five thousand, three hundred twenty-five".

Divisors: 1 5 11 19 25 55 95 101 209 275 475 505 1045 1111 1919 2525 5225 5555 6691 9595 14827 21109 27775 33455 47975 73601 74135 105545 127129 163097 167275 281713 368005 370675 527725 635645 675791 815485 1398419 1408565 1497527 1840025 3098843 3178225 3378955 4077425 6992095 7042825 7433701 7487635 12840029 15494215 16472797 16894775 28453013 34960475 37168505 37438175 64200145 77471075 82363985 99207457 141240319 142265065 185842525 312983143 321000725 411819925 496037285 706201595 711325325 1091282027 1564915715 1884941683 2480186425 3531007975 5456410135 7824578575 9424708415 10019953157 20734358513 27282050675 47123542075 50099765785 103671792565 110219484727 190379109983 250498828925 518358962825 551097423635 951895549915 2094170209813 2755487118175 4759477749575 10470851049065 52354255245325