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261421056351125 = 53111721158019137
BaseRepresentation
bin111011011100001011010101…
…001100110101101110010101
31021021121121102220020211120222
4323130023111030311232111
5233231110310411214000
62323555101513204125
7106031022323200136
oct7334132514655625
91237547386224528
10261421056351125
117632a058093a20
12253a119aa00645
13b2b3b90c291a8
14487abbd267c8d
152035265630a85
hexedc2d5335b95

261421056351125 has 128 divisors (see below), whose sum is σ = 378741668977152. Its totient is φ = 178042368000000.

The previous prime is 261421056351121. The next prime is 261421056351149. The reversal of 261421056351125 is 521153650124162.

It is a happy number.

It is not a de Polignac number, because 261421056351125 - 22 = 261421056351121 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261421056351121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28611252557 + ... + 28611261693.

It is an arithmetic number, because the mean of its divisors is an integer number (2958919288884).

Almost surely, 2261421056351125 is an apocalyptic number.

261421056351125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

261421056351125 is a deficient number, since it is larger than the sum of its proper divisors (117320612626027).

261421056351125 is a wasteful number, since it uses less digits than its factorization.

261421056351125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15192 (or 15182 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 44.

The spelling of 261421056351125 in words is "two hundred sixty-one trillion, four hundred twenty-one billion, fifty-six million, three hundred fifty-one thousand, one hundred twenty-five".

Divisors: 1 5 11 17 25 55 85 125 187 211 275 425 935 1055 1375 2125 2321 3587 4675 5275 5801 9137 11605 17935 23375 26375 29005 39457 45685 58025 63811 89675 98617 100507 145025 155329 197285 228425 290125 319055 448375 493085 502535 725125 776645 986425 1084787 1142125 1224011 1595275 1708619 1927907 2465425 2512675 3883225 4932125 5423935 6120055 7976375 8543095 9639535 12327125 12563375 13464121 19416125 20808187 21206977 27119675 30600275 32774419 42715475 48197675 53003737 67320605 104040935 106034885 135598375 153001375 163872095 213577375 228890057 240988375 265018685 336603025 360518609 520204675 530174425 583041107 819360475 901063529 1144450285 1325093425 1683015125 1802593045 2601023375 2650872125 2915205535 4096802375 4505317645 5722251425 6625467125 9012965225 9911698819 11183788507 14576027675 22526588225 28611257125 45064826125 49558494095 55918942535 72880138375 112632941125 123021673577 190124404619 247792470475 279594712675 615108367885 950622023095 1238962352375 1397973563375 2091368450809 3075541839425 4753110115475 10456842254045 15377709197125 23765550577375 52284211270225 261421056351125