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1325330505513 = 337259101168109
BaseRepresentation
bin10011010010010011110…
…110101001111100101001
311200200220120011110101000
4103102103312221330221
5133203234102134023
62452503132145213
7164515632264600
oct23222366517451
94620816143330
101325330505513
11471084578973
12194a36608209
1397c93c4c841
14482097a6a37
152471cb30243
hex13493da9f29

1325330505513 has 96 divisors (see below), whose sum is σ = 2345739696000. Its totient is φ = 737119958400.

The previous prime is 1325330505487. The next prime is 1325330505533. The reversal of 1325330505513 is 3155050335231.

1325330505513 is a `hidden beast` number, since 1 + 3 + 2 + 53 + 3 + 0 + 50 + 551 + 3 = 666.

It is not a de Polignac number, because 1325330505513 - 221 = 1325328408361 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1325330505533) 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, 7799703 + ... + 7967811.

It is an arithmetic number, because the mean of its divisors is an integer number (24434788500).

Almost surely, 21325330505513 is an apocalyptic number.

It is an amenable number.

1325330505513 is a deficient number, since it is larger than the sum of its proper divisors (1020409190487).

1325330505513 is a wasteful number, since it uses less digits than its factorization.

1325330505513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168292 (or 168279 counting only the distinct ones).

The product of its (nonzero) digits is 101250, while the sum is 36.

The spelling of 1325330505513 in words is "one trillion, three hundred twenty-five billion, three hundred thirty million, five hundred five thousand, five hundred thirteen".

Divisors: 1 3 7 9 21 27 49 59 63 101 147 177 189 303 413 441 531 707 909 1239 1323 1593 2121 2727 2891 3717 4949 5959 6363 8673 11151 14847 17877 19089 26019 41713 44541 53631 78057 125139 133623 160893 168109 291991 375417 504327 875973 1126251 1176763 1512981 2627919 3530289 4538943 7883757 8237341 9918431 10590867 16979009 24712023 29755293 31772601 50937027 69429017 74136069 89265879 118853063 152811081 208287051 222408207 267797637 356559189 458433243 486003119 624861153 831971441 1001761531 1069677567 1458009357 1874583459 2495914323 3005284593 3209032701 4374028071 7012330717 7487742969 9015853779 13122084213 21036992151 22463228907 27047561337 49086315019 63110976453 147258945057 189332929359 441776835171 1325330505513